From c2dfffffb7586662c67e44a2d255a1a97ab0398b Mon Sep 17 00:00:00 2001 From: Josh Chen Date: Thu, 2 Apr 2020 17:57:48 +0200 Subject: Brand-spanking new version using Spartan infrastructure --- HoTT_Methods.thy | 91 -------------------------------------------------------- 1 file changed, 91 deletions(-) delete mode 100644 HoTT_Methods.thy (limited to 'HoTT_Methods.thy') diff --git a/HoTT_Methods.thy b/HoTT_Methods.thy deleted file mode 100644 index 0199a49..0000000 --- a/HoTT_Methods.thy +++ /dev/null @@ -1,91 +0,0 @@ -(******** -Isabelle/HoTT: Proof methods -Jan 2019 - -Set up various proof methods and auxiliary functionality. - -********) - -theory HoTT_Methods -imports HoTT_Base "HOL-Eisbach.Eisbach" "HOL-Eisbach.Eisbach_Tools" - -begin - - -section \Substitution and simplification\ - -ML_file "~~/src/Tools/misc_legacy.ML" -ML_file "~~/src/Tools/IsaPlanner/isand.ML" -ML_file "~~/src/Tools/IsaPlanner/rw_inst.ML" -ML_file "~~/src/Tools/IsaPlanner/zipper.ML" -ML_file "~~/src/Tools/eqsubst.ML" -\ \Import the @{method subst} method, used for substituting definitional equalities.\ - -text \ -Method @{theory_text compute} performs single-step simplifications, using any rules declared @{attribute comp} in the context. -Subgoals arising from a substitution are solved by assumption and standard rules, as well as rules passed using @{theory_text add}. - -Note that the solving is sometimes a little eager; for more manual control one should use @{method subst} directly. -\ - -method compute uses add declares comp = (subst comp; (rule add | assumption | rule)?) - - -section \Handling universes\ - -text \ -Methods @{theory_text provelt}, @{theory_text hierarchy}, and @{theory_text cumulativity} prove propositions of the form -\<^item> \n < (Suc (... (Suc n) ...))\, -\<^item> \U i: U (Suc (... (Suc i) ...))\, and -\<^item> @{prop "A: U i \ A: U j"}, where @{prop "i \ j"}, -respectively. -\ - -method provelt = (rule lt_Suc | (rule lt_trans, (rule lt_Suc)+)+) - -method hierarchy = (rule U_hierarchy, provelt) - -method cumulativity declares form = ( - ((elim U_cumulative' | (rule U_cumulative', rule form)), rule leq_min) | - ((elim U_cumulative | (rule U_cumulative, rule form)), provelt) -) - - -section \Deriving typing judgments\ - -method routine uses add = (rule add | assumption | rule)+ - -text \ -The method @{method routine} proves typing judgments @{prop "a: A"} using the rules declared @{attribute intro} in the respective theory files, as well as any additional lemmas provided with the modifier @{theory_text add}. -\ - - -section \Derivation search\ - -text \ -The method @{theory_text derive} combines @{method routine} and @{method compute} to search for derivations of judgments. -It also handles universes using @{method cumulativity}. -The method @{method hierarchy} has been observed to cause looping in previous versions, and is hence no longer part of @{theory_text derive}. -\ - -method derive uses lems unfold declares comp = - (unfold unfold | routine add: lems | compute add: lems comp: comp | cumulativity form: lems)+ - -section \Additional method combinators\ - -text \ -The ML expression @{ML_text "repeat tac"} below yields a @{ML_type "(Proof.context -> Proof.method) context_parser"}, which may be passed to @{command method_setup} to set up a method that scans for an integer n and executes the tactic returned by @{ML_text tac} n times. -See the setup of method @{text quantify} in @{file Prod.thy} for an example. -\ - -ML \ -fun repeat (tac: Proof.context -> tactic) = - let - fun cparser_of parser (ctxt, toks) = parser toks ||> (fn toks => (ctxt, toks)) - in - cparser_of Args.text >> (fn n => fn ctxt => fn facts => - SIMPLE_METHOD (REPEAT_DETERM_N (the (Int.fromString n))(tac ctxt)) facts) - end -\ - -end -- cgit v1.2.3