diff options
| -rw-r--r-- | .gitignore | 1 | ||||
| -rw-r--r-- | Cargo.lock | 464 | ||||
| -rw-r--r-- | Cargo.toml | 2 | ||||
| -rw-r--r-- | Readme.org | 54 | ||||
| -rw-r--r-- | isabelle-dump/Cargo.lock | 464 | ||||
| -rw-r--r-- | isabelle-dump/Cargo.toml | 17 | ||||
| -rw-r--r-- | isabelle-dump/build.rs | 13 | ||||
| -rw-r--r-- | isabelle-dump/src/calc.l | 5 | ||||
| -rw-r--r-- | isabelle-dump/src/calc.y | 54 | ||||
| -rw-r--r-- | isabelle-dump/src/main.rs | 71 | ||||
| -rw-r--r-- | isabelle-licence | 38 | ||||
| -rw-r--r-- | symbolmacro/.gitignore | 1 | ||||
| -rw-r--r-- | symbolmacro/Cargo.lock | 5 | ||||
| -rw-r--r-- | symbolmacro/Cargo.toml | 11 | ||||
| -rw-r--r-- | symbolmacro/src/lib.rs | 53 | ||||
| -rw-r--r-- | symbols | 446 |
16 files changed, 1699 insertions, 0 deletions
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+members = ["isabelle-dump", "symbolmacro"] diff --git a/Readme.org b/Readme.org new file mode 100644 index 0000000..5b6f8ba --- /dev/null +++ b/Readme.org @@ -0,0 +1,54 @@ +#+TITLE: Isabelle-dump + +The [[https://isabelle.in.tum.de/][Isabelle proof assistant]] uses lots of mathematical symbols +in its notation, yet still saves its theories as ASCII files, +using lots of escape sequences, e.g. a simple lemma from set +theory (taken from ~HOL/Set.thy~) might be written like this: + +#+begin_src +lemma set_eq_iff: "A = B \<longleftrightarrow> (\<forall>x. x \<in> A \<longleftrightarrow> x \<in> B)" + by (auto intro:set_eqI) +#+end_src + +Luckily, unicode contains a lot of symbols. Piped through +~isabelle-dump~, it looks like this: + +#+begin_src +lemma set_eq_iff: "A = B ⟷ (∀x. x ∈ A ⟷ x ∈ B)" + by (auto intro:set_eqI) +#+end_src + +* Usage +~isabelle-dump~ takes no arguments for now. Use it like this: + +#+begin_src sh +cat /path/to/theory.thy | isabelle-dump | less +#+end_src sh + +Since much of isabelle's syntax follows conventions derived from +the ML language family, you can additionally get rudimentary +syntax highlighting by using [[https://github.com/sharkdp/bat][bat]] with its SML highlighter: + +#+begin_src sh +cat /path/to/theory.thy | isabelle-dump | bat -l sml +#+end_src + +* Limitations +For now, this assumes that each escape sequence stands on its +own, and ignores things like superscript, which are a modifier +(which will be printed as e.g. x⇧2 instead of the more correct x² +– though sub/superscript in unicode [[https://en.wikipedia.org/wiki/Unicode_subscripts_and_superscripts][is a giant mess in general]]). + +It also only knows about escape sequences, and has no idea at all +about proofs, functions, or any other bits of syntax. + +~isabelle-dump~ was written over some hours in which I also did +other things, so don't be suprised if you manage to make it panic +or otherwise fail for some input – for test purposes the entire +HOL library was piped through it at least once, but there may +still be some edge cases I haven't thought of. + +Lastly, it has a dependency closure including over 100 crates, +which may be considered excessive [citation needed] for something +that could also be implemented using only the standard liberay +and nothing else. I mostly wanted to try working with [[https://softdevteam.github.io/grmtools/master/book/quickstart.html][grmtools]] ... diff --git a/isabelle-dump/Cargo.lock b/isabelle-dump/Cargo.lock new file mode 100644 index 0000000..2f0d1ca --- /dev/null +++ b/isabelle-dump/Cargo.lock @@ -0,0 +1,464 @@ +# This file is automatically @generated by Cargo. +# It is not intended for manual editing. +[[package]] +name = "aho-corasick" +version = "0.7.18" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "1e37cfd5e7657ada45f742d6e99ca5788580b5c529dc78faf11ece6dc702656f" +dependencies = [ + "memchr", +] + +[[package]] +name = "autocfg" +version = "1.0.1" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "cdb031dd78e28731d87d56cc8ffef4a8f36ca26c38fe2de700543e627f8a464a" + +[[package]] +name = "bincode" +version = "1.3.3" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = 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b/isabelle-dump/Cargo.toml @@ -0,0 +1,17 @@ +[package] +name = "isabelle-dump" +version = "0.1.0" +authors = ["stuebinm <stuebinm@disroot.org>"] +edition = "2018" + + +[build-dependencies] +cfgrammar = "0.10" +lrlex = "0.10" +lrpar = "0.10" + +[dependencies] +cfgrammar = "0.10" +lrlex = "0.10" +lrpar = "0.10" +symbolmacro = { path = "../symbolmacro", version = "0.1" } diff --git a/isabelle-dump/build.rs b/isabelle-dump/build.rs new file mode 100644 index 0000000..b11761d --- /dev/null +++ b/isabelle-dump/build.rs @@ -0,0 +1,13 @@ +use cfgrammar::yacc::YaccKind; +use lrlex::LexerBuilder; +use lrpar::{CTParserBuilder}; + +fn main() -> Result<(), Box<dyn std::error::Error>> { + let lex_rule_ids_map = CTParserBuilder::new() + .yacckind(YaccKind::Grmtools) + .process_file_in_src("calc.y")?; + LexerBuilder::new() + .rule_ids_map(lex_rule_ids_map) + .process_file_in_src("calc.l")?; + Ok(()) +} diff --git a/isabelle-dump/src/calc.l b/isabelle-dump/src/calc.l new file mode 100644 index 0000000..2bf98dc --- /dev/null +++ b/isabelle-dump/src/calc.l @@ -0,0 +1,5 @@ +%% +\\ "AOPEN" +< "LT" +<[^\\<>]+> "NAME" +[^<\\][^\\]* "TEXT" diff --git a/isabelle-dump/src/calc.y b/isabelle-dump/src/calc.y new file mode 100644 index 0000000..2dd3bd3 --- /dev/null +++ b/isabelle-dump/src/calc.y @@ -0,0 +1,54 @@ +%start AbbrList + +%% + +AbbrList -> Result<Vec<Isabelle>, ()>: + Text { Ok(vec![Isabelle::Text($1?)]) } + | Abbr { Ok(vec![Isabelle::Symbol($1?)]) } + | AbbrList Abbr + { + let mut $1 = $1?; + $1.push(Isabelle::Symbol($2?)); + Ok($1) + } + | AbbrList Text + { + let mut $1 = $1?; + $1.push(Isabelle::Text($2?)); + Ok($1) + } + ; + +Abbr -> Result<String, ()>: + 'AOPEN' Name { Ok($2?) } + ; + +Text -> Result<String, ()>: + 'TEXT' + { + let v = $1.map_err(|_| ())?; + Ok($lexer.span_str(v.span()).to_string()) + } + | 'AOPEN' + { + //let v = $2.map_err(|_| ())?; + Ok("\\".to_string()) + } + | 'LT' + { + //let v = $2.map_err(|_| ())?; + Ok("<".to_string()) //format!("<{}", $lexer.span_str(v.span()))) + } + ; + +Name -> Result<String, ()>: + 'NAME' + { + let v = $1.map_err(|_| ())?; + let name = $lexer.span_str(v.span()); + Ok(name[1..name.len()-1].to_string()) + } + ; +%% + +use crate::Isabelle; diff --git a/isabelle-dump/src/main.rs b/isabelle-dump/src/main.rs new file mode 100644 index 0000000..891108f --- /dev/null +++ b/isabelle-dump/src/main.rs @@ -0,0 +1,71 @@ +use std::io::{self, BufRead, Write}; + +use lrlex::lrlex_mod; +use lrpar::lrpar_mod; + +#[derive(Debug)] +pub enum Isabelle { + Symbol(String), + Text(String), +} + + +lrlex_mod!("calc.l"); +lrpar_mod!("calc.y"); + + +symbolmacro::make_symbols!(); + + +fn main() { + // Get the `LexerDef` for the `calc` language. + let lexerdef = calc_l::lexerdef(); + let stdin = io::stdin(); + loop { + io::stdout().flush().ok(); + match stdin.lock().lines().next() { + Some(Ok(ref l)) => { + if l.trim().is_empty() { + println!(""); + continue; + } + let lexer = lexerdef.lexer(l); + let (res, errs) = calc_y::parse(&lexer); + for e in errs { + eprintln!( + "{}", + e.pp(&lexer, &calc_y::token_epp) + ); + } + match res { + Some(r) => { + //eprintln!("Result: {:?}", r); + let rendered = r + .unwrap() + .iter() + .map(|token| match token { + Isabelle::Text(ref t) => + t, + Isabelle::Symbol(name) => + symbol(name) + .unwrap_or_else(|| { + Box::leak( + format!("\\<{}>", name) + .into() + ) + }) + }) + .collect::<Vec<&str>>() + .join(""); + println!("{}", rendered); + } + _ => { + eprintln!("could not parse file (probably spurious \\, <, or >)"); + std::process::exit(1); + } + } + } + _ => break, + } + } +} diff --git a/isabelle-licence b/isabelle-licence new file mode 100644 index 0000000..48d5703 --- /dev/null +++ b/isabelle-licence @@ -0,0 +1,38 @@ +(applicable for the symbols file) + +ISABELLE COPYRIGHT NOTICE, LICENCE AND DISCLAIMER. + +Copyright (c) 1986-2021, + University of Cambridge, + Technische Universitaet Muenchen, + and contributors. + + All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + +* Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + +* Redistributions in binary form must reproduce the above copyright +notice, this list of conditions and the following disclaimer in the +documentation and/or other materials provided with the distribution. + +* Neither the name of the University of Cambridge or the Technische +Universitaet Muenchen nor the names of their contributors may be used +to endorse or promote products derived from this software without +specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS +IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A +PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/symbolmacro/.gitignore b/symbolmacro/.gitignore new file mode 100644 index 0000000..ea8c4bf --- /dev/null +++ b/symbolmacro/.gitignore @@ -0,0 +1 @@ +/target diff --git a/symbolmacro/Cargo.lock b/symbolmacro/Cargo.lock new file mode 100644 index 0000000..1ed48a4 --- /dev/null +++ b/symbolmacro/Cargo.lock @@ -0,0 +1,5 @@ +# This file is automatically @generated by Cargo. +# It is not intended for manual editing. +[[package]] +name = "symbolmacro" +version = "0.1.0" diff --git a/symbolmacro/Cargo.toml b/symbolmacro/Cargo.toml new file mode 100644 index 0000000..78ad418 --- /dev/null +++ b/symbolmacro/Cargo.toml @@ -0,0 +1,11 @@ +[package] +name = "symbolmacro" +version = "0.1.0" +authors = ["stuebinm <stuebinm@disroot.org>"] +edition = "2018" + +# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html +[lib] +proc-macro = true + +[dependencies] diff --git a/symbolmacro/src/lib.rs b/symbolmacro/src/lib.rs new file mode 100644 index 0000000..f99ccd9 --- /dev/null +++ b/symbolmacro/src/lib.rs @@ -0,0 +1,53 @@ + +extern crate proc_macro; + +use proc_macro::TokenStream; +use std::{collections::HashMap, fs::File, io::BufReader}; +use std::io::prelude::*; + + + +fn fetchsymbols() -> HashMap<String, char> { + // who needs obvious filepaths, anyways? + let filename = "symbols"; + let file = File::open(filename).unwrap(); + let reader = BufReader::new(file); + + reader.lines() + .filter_map(|l| l.ok()) + .filter_map(|l| { + let segments: Vec<&str> = l + .split_whitespace() + .collect(); + match segments[..] { + [] => None, + [s,"code:",code,..] => { + let codepoint = u32::from_str_radix(&code[2..], 16).ok()?; + let unichar = std::char::from_u32(codepoint)?; + Some((s[2..s.len()-1].to_string(), unichar)) + }, + _ => None, + } + }) + .collect::<HashMap<String,char>>() +} + + +// rust macros are a strange kind of horrible, tbh +#[proc_macro] +pub fn make_symbols(_item: TokenStream) -> TokenStream { + let symbols = fetchsymbols(); + + format!( + "fn symbol(key: &str) -> Option<&'static str> {{ + match key {{ + {} + _ => None + }} + }}", + symbols.iter() + .map(|(k,v)| format!("\"{}\" => Some(\"{}\"),",k,v)) + .collect::<Vec<_>>() + .join("\n") + ).parse().unwrap() +} @@ -0,0 +1,446 @@ +# file taken from the official isabelle distribution +# available at isabelle.in.tum.de +# Default interpretation of some Isabelle symbols + +\<zero> code: 0x01d7ec group: digit +\<one> code: 0x01d7ed group: digit +\<two> code: 0x01d7ee group: digit +\<three> code: 0x01d7ef group: digit +\<four> code: 0x01d7f0 group: digit +\<five> code: 0x01d7f1 group: digit +\<six> code: 0x01d7f2 group: digit +\<seven> code: 0x01d7f3 group: digit +\<eight> code: 0x01d7f4 group: digit +\<nine> code: 0x01d7f5 group: digit +\<A> code: 0x01d49c group: letter +\<B> code: 0x00212c group: letter +\<C> code: 0x01d49e group: letter +\<D> code: 0x01d49f group: letter +\<E> code: 0x002130 group: letter +\<F> code: 0x002131 group: letter +\<G> code: 0x01d4a2 group: letter +\<H> code: 0x00210b group: letter +\<I> code: 0x002110 group: letter +\<J> code: 0x01d4a5 group: letter +\<K> code: 0x01d4a6 group: letter +\<L> code: 0x002112 group: letter +\<M> code: 0x002133 group: letter +\<N> code: 0x01d4a9 group: letter +\<O> code: 0x01d4aa group: letter +\<P> code: 0x01d4ab group: letter +\<Q> code: 0x01d4ac group: letter +\<R> code: 0x00211b group: letter +\<S> code: 0x01d4ae group: letter +\<T> code: 0x01d4af group: letter +\<U> code: 0x01d4b0 group: letter +\<V> code: 0x01d4b1 group: letter +\<W> code: 0x01d4b2 group: letter +\<X> code: 0x01d4b3 group: letter +\<Y> code: 0x01d4b4 group: letter +\<Z> code: 0x01d4b5 group: letter +\<a> code: 0x01d5ba group: letter +\<b> code: 0x01d5bb group: letter +\<c> code: 0x01d5bc group: letter +\<d> code: 0x01d5bd group: letter +\<e> code: 0x01d5be group: letter +\<f> code: 0x01d5bf group: letter +\<g> code: 0x01d5c0 group: letter +\<h> code: 0x01d5c1 group: letter +\<i> code: 0x01d5c2 group: letter +\<j> code: 0x01d5c3 group: letter +\<k> code: 0x01d5c4 group: letter +\<l> code: 0x01d5c5 group: letter +\<m> code: 0x01d5c6 group: letter +\<n> code: 0x01d5c7 group: letter +\<o> code: 0x01d5c8 group: letter +\<p> code: 0x01d5c9 group: letter +\<q> code: 0x01d5ca group: letter +\<r> code: 0x01d5cb group: letter +\<s> code: 0x01d5cc group: letter +\<t> code: 0x01d5cd group: letter +\<u> code: 0x01d5ce group: letter +\<v> code: 0x01d5cf group: letter +\<w> code: 0x01d5d0 group: letter +\<x> code: 0x01d5d1 group: letter +\<y> code: 0x01d5d2 group: letter +\<z> code: 0x01d5d3 group: letter +\<AA> code: 0x01d504 group: letter +\<BB> code: 0x01d505 group: letter +\<CC> code: 0x00212d group: letter +\<DD> code: 0x01d507 group: letter +\<EE> code: 0x01d508 group: letter +\<FF> code: 0x01d509 group: letter +\<GG> code: 0x01d50a group: letter +\<HH> code: 0x00210c group: letter +\<II> code: 0x002111 group: letter +\<JJ> code: 0x01d50d group: letter +\<KK> code: 0x01d50e group: letter +\<LL> code: 0x01d50f group: letter +\<MM> code: 0x01d510 group: letter +\<NN> code: 0x01d511 group: letter +\<OO> code: 0x01d512 group: letter +\<PP> code: 0x01d513 group: letter +\<QQ> code: 0x01d514 group: letter +\<RR> code: 0x00211c group: letter +\<SS> code: 0x01d516 group: letter +\<TT> code: 0x01d517 group: letter +\<UU> code: 0x01d518 group: letter +\<VV> code: 0x01d519 group: letter +\<WW> code: 0x01d51a group: letter +\<XX> code: 0x01d51b group: letter +\<YY> code: 0x01d51c group: letter +\<ZZ> code: 0x002128 group: letter +\<aa> code: 0x01d51e group: letter +\<bb> code: 0x01d51f group: letter +\<cc> code: 0x01d520 group: letter +\<dd> code: 0x01d521 group: letter +\<ee> code: 0x01d522 group: letter +\<ff> code: 0x01d523 group: letter +\<gg> code: 0x01d524 group: letter +\<hh> code: 0x01d525 group: letter +\<ii> code: 0x01d526 group: letter +\<jj> code: 0x01d527 group: letter +\<kk> code: 0x01d528 group: letter +\<ll> code: 0x01d529 group: letter +\<mm> code: 0x01d52a group: letter +\<nn> code: 0x01d52b group: letter +\<oo> code: 0x01d52c group: letter +\<pp> code: 0x01d52d group: letter +\<qq> code: 0x01d52e group: letter +\<rr> code: 0x01d52f group: letter +\<ss> code: 0x01d530 group: letter +\<tt> code: 0x01d531 group: letter +\<uu> code: 0x01d532 group: letter +\<vv> code: 0x01d533 group: letter +\<ww> code: 0x01d534 group: letter +\<xx> code: 0x01d535 group: letter +\<yy> code: 0x01d536 group: letter +\<zz> code: 0x01d537 group: letter +\<alpha> code: 0x0003b1 group: greek +\<beta> code: 0x0003b2 group: greek +\<gamma> code: 0x0003b3 group: greek +\<delta> code: 0x0003b4 group: greek +\<epsilon> code: 0x0003b5 group: greek +\<zeta> code: 0x0003b6 group: greek +\<eta> code: 0x0003b7 group: greek +\<theta> code: 0x0003b8 group: greek +\<iota> code: 0x0003b9 group: greek +\<kappa> code: 0x0003ba group: greek +\<lambda> code: 0x0003bb group: greek abbrev: % +\<mu> code: 0x0003bc group: greek +\<nu> code: 0x0003bd group: greek +\<xi> code: 0x0003be group: greek +\<pi> code: 0x0003c0 group: greek +\<rho> code: 0x0003c1 group: greek +\<sigma> code: 0x0003c3 group: greek +\<tau> code: 0x0003c4 group: greek +\<upsilon> code: 0x0003c5 group: greek +\<phi> code: 0x0003c6 group: greek +\<chi> code: 0x0003c7 group: greek +\<psi> code: 0x0003c8 group: greek +\<omega> code: 0x0003c9 group: greek +\<Gamma> code: 0x000393 group: greek +\<Delta> code: 0x000394 group: greek +\<Theta> code: 0x000398 group: greek +\<Lambda> code: 0x00039b group: greek +\<Xi> code: 0x00039e group: greek +\<Pi> code: 0x0003a0 group: greek +\<Sigma> code: 0x0003a3 group: greek +\<Upsilon> code: 0x0003a5 group: greek +\<Phi> code: 0x0003a6 group: greek +\<Psi> code: 0x0003a8 group: greek +\<Omega> code: 0x0003a9 group: greek +\<bool> code: 0x01d539 group: letter +\<complex> code: 0x002102 group: letter +\<nat> code: 0x002115 group: letter +\<rat> code: 0x00211a group: letter +\<real> code: 0x00211d group: letter +\<int> code: 0x002124 group: letter +\<leftarrow> code: 0x002190 group: arrow abbrev: <. +\<longleftarrow> code: 0x0027f5 group: arrow abbrev: <. +\<longlongleftarrow> code: 0x00290e group: arrow abbrev: <. +\<longlonglongleftarrow> code: 0x0021e0 group: arrow abbrev: <. +\<rightarrow> code: 0x002192 group: arrow abbrev: .> abbrev: -> +\<longrightarrow> code: 0x0027f6 group: arrow abbrev: .> abbrev: --> +\<longlongrightarrow> code: 0x00290f group: arrow abbrev: .> abbrev: ---> +\<longlonglongrightarrow> code: 0x0021e2 group: arrow abbrev: .> abbrev: ---> +\<Leftarrow> code: 0x0021d0 group: arrow abbrev: <. +\<Longleftarrow> code: 0x0027f8 group: arrow abbrev: <. +\<Lleftarrow> code: 0x0021da group: arrow abbrev: <. +\<Rightarrow> code: 0x0021d2 group: arrow abbrev: .> abbrev: => +\<Longrightarrow> code: 0x0027f9 group: arrow abbrev: .> abbrev: ==> +\<Rrightarrow> code: 0x0021db group: arrow abbrev: .> +\<leftrightarrow> code: 0x002194 group: arrow abbrev: <> abbrev: <-> +\<longleftrightarrow> code: 0x0027f7 group: arrow abbrev: <> abbrev: <-> abbrev: <--> +\<Leftrightarrow> code: 0x0021d4 group: arrow abbrev: <> +\<Longleftrightarrow> code: 0x0027fa group: arrow abbrev: <> +\<mapsto> code: 0x0021a6 group: arrow abbrev: .> abbrev: |-> +\<longmapsto> code: 0x0027fc group: arrow abbrev: .> abbrev: |--> +\<midarrow> code: 0x002500 group: arrow abbrev: <> +\<Midarrow> code: 0x002550 group: arrow abbrev: <> +\<hookleftarrow> code: 0x0021a9 group: arrow abbrev: <. +\<hookrightarrow> code: 0x0021aa group: arrow abbrev: .> +\<leftharpoondown> code: 0x0021bd group: arrow abbrev: <. +\<rightharpoondown> code: 0x0021c1 group: arrow abbrev: .> +\<leftharpoonup> code: 0x0021bc group: arrow abbrev: <. +\<rightharpoonup> code: 0x0021c0 group: arrow abbrev: .> +\<rightleftharpoons> code: 0x0021cc group: arrow abbrev: <> abbrev: == +\<leadsto> code: 0x00219d group: arrow abbrev: .> abbrev: ~> +\<downharpoonleft> code: 0x0021c3 group: arrow +\<downharpoonright> code: 0x0021c2 group: arrow +\<upharpoonleft> code: 0x0021bf group: arrow +#\<upharpoonright> code: 0x0021be group: arrow +\<restriction> code: 0x0021be group: operator +\<Colon> code: 0x002237 group: punctuation +\<up> code: 0x002191 group: arrow +\<Up> code: 0x0021d1 group: arrow +\<down> code: 0x002193 group: arrow +\<Down> code: 0x0021d3 group: arrow +\<updown> code: 0x002195 group: arrow +\<Updown> code: 0x0021d5 group: arrow +\<langle> code: 0x0027e8 group: punctuation abbrev: << +\<rangle> code: 0x0027e9 group: punctuation abbrev: >> +\<llangle> code: 0x0027ea group: punctuation abbrev: << +\<rrangle> code: 0x0027eb group: punctuation abbrev: >> +\<lceil> code: 0x002308 group: punctuation abbrev: [. +\<rceil> code: 0x002309 group: punctuation abbrev: .] +\<lfloor> code: 0x00230a group: punctuation abbrev: [. +\<rfloor> code: 0x00230b group: punctuation abbrev: .] +\<lparr> code: 0x002987 group: punctuation abbrev: (| +\<rparr> code: 0x002988 group: punctuation abbrev: |) +\<lbrakk> code: 0x0027e6 group: punctuation abbrev: [| +\<rbrakk> code: 0x0027e7 group: punctuation abbrev: |] +\<lbrace> code: 0x002983 group: punctuation abbrev: {| +\<rbrace> code: 0x002984 group: punctuation abbrev: |} +\<guillemotleft> code: 0x0000ab group: punctuation abbrev: << +\<guillemotright> code: 0x0000bb group: punctuation abbrev: >> +\<bottom> code: 0x0022a5 group: logic +\<top> code: 0x0022a4 group: logic +\<and> code: 0x002227 group: logic abbrev: /\ abbrev: & +\<And> code: 0x0022c0 group: logic abbrev: !! +\<or> code: 0x002228 group: logic abbrev: \/ abbrev: | +\<Or> code: 0x0022c1 group: logic abbrev: ?? +\<forall> code: 0x002200 group: logic abbrev: ! abbrev: ALL +\<exists> code: 0x002203 group: logic abbrev: ? abbrev: EX +\<nexists> code: 0x002204 group: logic abbrev: ~? +\<not> code: 0x0000ac group: logic abbrev: ~ +\<circle> code: 0x0025cb group: logic +\<box> code: 0x0025a1 group: logic +\<diamond> code: 0x0025c7 group: logic +\<diamondop> code: 0x0022c4 group: operator +\<turnstile> code: 0x0022a2 group: relation abbrev: |- +\<Turnstile> code: 0x0022a8 group: relation abbrev: |= +\<tturnstile> code: 0x0022a9 group: relation abbrev: |- +\<TTurnstile> code: 0x0022ab group: relation abbrev: |= +\<stileturn> code: 0x0022a3 group: relation abbrev: -| +\<surd> code: 0x00221a group: relation +\<le> code: 0x002264 group: relation abbrev: <= +\<ge> code: 0x002265 group: relation abbrev: >= +\<lless> code: 0x00226a group: relation abbrev: << +\<ggreater> code: 0x00226b group: relation abbrev: >> +\<lesssim> code: 0x002272 group: relation +\<greatersim> code: 0x002273 group: relation +\<lessapprox> code: 0x002a85 group: relation +\<greaterapprox> code: 0x002a86 group: relation +\<in> code: 0x002208 group: relation abbrev: : +\<notin> code: 0x002209 group: relation abbrev: ~: +\<subset> code: 0x002282 group: relation +\<supset> code: 0x002283 group: relation +\<subseteq> code: 0x002286 group: relation abbrev: (= +\<supseteq> code: 0x002287 group: relation abbrev: )= +\<sqsubset> code: 0x00228f group: relation +\<sqsupset> code: 0x002290 group: relation +\<sqsubseteq> code: 0x002291 group: relation abbrev: [= +\<sqsupseteq> code: 0x002292 group: relation abbrev: ]= +\<inter> code: 0x002229 group: operator abbrev: Int +\<Inter> code: 0x0022c2 group: operator abbrev: Inter abbrev: INT +\<union> code: 0x00222a group: operator abbrev: Un +\<Union> code: 0x0022c3 group: operator abbrev: Union abbrev: UN +\<squnion> code: 0x002294 group: operator +\<Squnion> code: 0x002a06 group: operator abbrev: SUP +\<sqinter> code: 0x002293 group: operator +\<Sqinter> code: 0x002a05 group: operator abbrev: INF +\<setminus> code: 0x002216 group: operator +\<propto> code: 0x00221d group: operator +\<uplus> code: 0x00228e group: operator +\<Uplus> code: 0x002a04 group: operator +\<noteq> code: 0x002260 group: relation abbrev: ~= +\<sim> code: 0x00223c group: relation +\<doteq> code: 0x002250 group: relation abbrev: .= +\<simeq> code: 0x002243 group: relation +\<approx> code: 0x002248 group: relation +\<asymp> code: 0x00224d group: relation +\<cong> code: 0x002245 group: relation +\<smile> code: 0x002323 group: relation +\<equiv> code: 0x002261 group: relation abbrev: == +\<frown> code: 0x002322 group: relation +\<Join> code: 0x0022c8 +\<bowtie> code: 0x002a1d +\<prec> code: 0x00227a group: relation +\<succ> code: 0x00227b group: relation +\<preceq> code: 0x00227c group: relation +\<succeq> code: 0x00227d group: relation +\<parallel> code: 0x002225 group: punctuation abbrev: || +\<bar> code: 0x0000a6 group: punctuation abbrev: || +\<bbar> code: 0x002aff group: punctuation abbrev: || +\<plusminus> code: 0x0000b1 group: operator +\<minusplus> code: 0x002213 group: operator +\<times> code: 0x0000d7 group: operator abbrev: <*> +\<div> code: 0x0000f7 group: operator +\<cdot> code: 0x0022c5 group: operator +\<star> code: 0x0022c6 group: operator +\<bullet> code: 0x002219 group: operator +\<circ> code: 0x002218 group: operator +\<dagger> code: 0x002020 +\<ddagger> code: 0x002021 +\<lhd> code: 0x0022b2 group: relation +\<rhd> code: 0x0022b3 group: relation +\<unlhd> code: 0x0022b4 group: relation +\<unrhd> code: 0x0022b5 group: relation +\<triangleleft> code: 0x0025c3 group: relation +\<triangleright> code: 0x0025b9 group: relation +\<triangle> code: 0x0025b3 group: relation +\<triangleq> code: 0x00225c group: relation +\<oplus> code: 0x002295 group: operator +\<Oplus> code: 0x002a01 group: operator +\<otimes> code: 0x002297 group: operator +\<Otimes> code: 0x002a02 group: operator +\<odot> code: 0x002299 group: operator +\<Odot> code: 0x002a00 group: operator +\<ominus> code: 0x002296 group: operator +\<oslash> code: 0x002298 group: operator +\<dots> code: 0x002026 group: punctuation abbrev: ... +\<cdots> code: 0x0022ef group: punctuation +\<Sum> code: 0x002211 group: operator abbrev: SUM +\<Prod> code: 0x00220f group: operator abbrev: PROD +\<Coprod> code: 0x002210 group: operator +\<infinity> code: 0x00221e +\<integral> code: 0x00222b group: operator +\<ointegral> code: 0x00222e group: operator +\<clubsuit> code: 0x002663 +\<diamondsuit> code: 0x002662 +\<heartsuit> code: 0x002661 +\<spadesuit> code: 0x002660 +\<aleph> code: 0x002135 +\<emptyset> code: 0x002205 +\<nabla> code: 0x002207 +\<partial> code: 0x002202 +\<flat> code: 0x00266d +\<natural> code: 0x00266e +\<sharp> code: 0x00266f +\<angle> code: 0x002220 +\<copyright> code: 0x0000a9 +\<registered> code: 0x0000ae +\<hyphen> code: 0x002010 group: punctuation +\<inverse> code: 0x0000af group: operator +\<sqdot> code: 0x0000b7 group: punctuation +\<onequarter> code: 0x0000bc group: digit +\<onehalf> code: 0x0000bd group: digit +\<threequarters> code: 0x0000be group: digit +\<ordfeminine> code: 0x0000aa +\<ordmasculine> code: 0x0000ba +\<section> code: 0x0000a7 +\<paragraph> code: 0x0000b6 +\<exclamdown> code: 0x0000a1 +\<questiondown> code: 0x0000bf +\<euro> code: 0x0020ac +\<pounds> code: 0x0000a3 +\<yen> code: 0x0000a5 +\<cent> code: 0x0000a2 +\<currency> code: 0x0000a4 +\<degree> code: 0x0000b0 +\<amalg> code: 0x002a3f group: operator +\<mho> code: 0x002127 group: operator +\<lozenge> code: 0x0025ca +\<wp> code: 0x002118 +\<wrong> code: 0x002240 group: relation +\<acute> code: 0x0000b4 +\<index> code: 0x000131 +\<dieresis> code: 0x0000a8 +\<cedilla> code: 0x0000b8 +\<hungarumlaut> code: 0x0002dd +\<bind> code: 0x00291c group: operator abbrev: >>= +\<then> code: 0x002aa2 group: operator abbrev: >> +\<some> code: 0x0003f5 +\<hole> code: 0x002311 +\<newline> code: 0x0023ce +\<comment> code: 0x002015 group: document argument: space_cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^cancel> code: 0x002326 group: document argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^latex> group: document argument: cartouche +\<^marker> code: 0x002710 group: document argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<open> code: 0x002039 group: punctuation font: Isabelle␣DejaVu␣Sans␣Mono abbrev: << +\<close> code: 0x00203a group: punctuation font: Isabelle␣DejaVu␣Sans␣Mono abbrev: >> +\<^here> code: 0x002302 font: Isabelle␣DejaVu␣Sans␣Mono +\<^undefined> code: 0x002756 font: Isabelle␣DejaVu␣Sans␣Mono +\<^noindent> code: 0x0021e4 group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^smallskip> code: 0x002508 group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^medskip> code: 0x002509 group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^bigskip> code: 0x002501 group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^item> code: 0x0025aa group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^enum> code: 0x0025b8 group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^descr> code: 0x0027a7 group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^footnote> code: 0x00204b group: document argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^verbatim> code: 0x0025a9 group: document argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^theory_text> code: 0x002b1a group: document argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^emph> code: 0x002217 group: document argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^bold> code: 0x002759 group: control argument: cartouche group: document font: Isabelle␣DejaVu␣Sans␣Mono +\<^sub> code: 0x0021e9 group: control font: Isabelle␣DejaVu␣Sans␣Mono +\<^sup> code: 0x0021e7 group: control font: Isabelle␣DejaVu␣Sans␣Mono +\<^bsub> code: 0x0021d8 group: control_block font: Isabelle␣DejaVu␣Sans␣Mono abbrev: =_( +\<^esub> code: 0x0021d9 group: control_block font: Isabelle␣DejaVu␣Sans␣Mono abbrev: =_) +\<^bsup> code: 0x0021d7 group: control_block font: Isabelle␣DejaVu␣Sans␣Mono abbrev: =^( +\<^esup> code: 0x0021d6 group: control_block font: Isabelle␣DejaVu␣Sans␣Mono abbrev: =^) +\<^file> code: 0x01F5CF group: icon argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^dir> code: 0x01F5C0 group: icon argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^url> code: 0x01F310 group: icon argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^doc> code: 0x01F4D3 group: icon argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^action> code: 0x00261b group: icon argument: cartouche font: Isabelle␣DejaVu␣Sans␣Mono +\<^assert> +\<^binding> argument: cartouche +\<^class> argument: cartouche +\<^class_syntax> argument: cartouche +\<^command_keyword> argument: cartouche +\<^const> argument: cartouche +\<^const_abbrev> argument: cartouche +\<^const_name> argument: cartouche +\<^const_syntax> argument: cartouche +\<^context> +\<^cprop> argument: cartouche +\<^cterm> argument: cartouche +\<^ctyp> argument: cartouche +\<^keyword> argument: cartouche +\<^locale> argument: cartouche +\<^make_string> +\<^method> argument: cartouche +\<^named_theorems> argument: cartouche +\<^nonterminal> argument: cartouche +\<^path> argument: cartouche +\<^path_binding> argument: cartouche +\<^plugin> argument: cartouche +\<^print> +\<^prop> argument: cartouche +\<^bash_function> argument: cartouche +\<^scala> argument: cartouche +\<^scala_function> argument: cartouche +\<^scala_method> argument: cartouche +\<^scala_object> argument: cartouche +\<^scala_thread> argument: cartouche +\<^scala_type> argument: cartouche +\<^session> argument: cartouche +\<^simproc> argument: cartouche +\<^sort> argument: cartouche +\<^syntax_const> argument: cartouche +\<^system_option> argument: cartouche +\<^term> argument: cartouche +\<^theory> argument: cartouche +\<^theory_context> argument: cartouche +\<^tool> argument: cartouche +\<^typ> argument: cartouche +\<^type_abbrev> argument: cartouche +\<^type_name> argument: cartouche +\<^type_syntax> argument: cartouche +\<^oracle_name> argument: cartouche +\<^code> argument: cartouche +\<^computation> argument: cartouche +\<^computation_conv> argument: cartouche +\<^computation_check> argument: cartouche |