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authorSon HO2024-06-21 23:24:01 +0200
committerGitHub2024-06-21 23:24:01 +0200
commit4d30546c809cb2c512e0c3fd8ee540fff1330eab (patch)
treed83926c9aa30f7bfb2a1c6db0e776003bca63355 /backends
parentf264b9dcc6331eb9149d951f308cdc61c8c02801 (diff)
Add some proofs for the Lean backend (#255)
* Make progress on the proofs of the hashmap * Make a minor modification to the hashmap * Make progress on the hashmap * Make progress on the proofs * Make progress on the proofs * Make progress on the proof of the hashmap * Progress on the proofs of the hashmap * Update a proof * Update the Charon pin * Make minor modifications to the hashmap * Regenerate the tests * Regenerate the hashmap * Add lemmas to the Lean backend * Make progress on the proofs of the hashmap * Make a minor fix * Finish the proof about the hashmap * Update scalar_tac * Make a minor modification in the hashmap * Update the proofs of the hashmap --------- Co-authored-by: Son Ho <sonho@Sons-MacBook-Pro.local> Co-authored-by: Son Ho <sonho@Sons-MBP.lan>
Diffstat (limited to '')
-rw-r--r--backends/lean/Base/Arith/Base.lean8
-rw-r--r--backends/lean/Base/Arith/Int.lean48
-rw-r--r--backends/lean/Base/Arith/Scalar.lean12
-rw-r--r--backends/lean/Base/IList/IList.lean23
-rw-r--r--backends/lean/Base/Primitives/ArraySlice.lean2
-rw-r--r--backends/lean/Base/Primitives/Scalar.lean11
-rw-r--r--backends/lean/Base/Primitives/Vec.lean13
-rw-r--r--backends/lean/Base/Progress/Progress.lean6
-rw-r--r--backends/lean/Base/Utils.lean42
9 files changed, 125 insertions, 40 deletions
diff --git a/backends/lean/Base/Arith/Base.lean b/backends/lean/Base/Arith/Base.lean
index fb6b12e5..320b4b53 100644
--- a/backends/lean/Base/Arith/Base.lean
+++ b/backends/lean/Base/Arith/Base.lean
@@ -52,10 +52,6 @@ theorem int_pos_ind (p : Int → Prop) :
rename_i m
cases m <;> simp_all
--- We sometimes need this to make sure no natural numbers appear in the goals
--- TODO: there is probably something more general to do
-theorem nat_zero_eq_int_zero : (0 : Nat) = (0 : Int) := by simp
-
-- This is mostly used in termination proofs
theorem to_int_to_nat_lt (x y : ℤ) (h0 : 0 ≤ x) (h1 : x < y) :
↑(x.toNat) < y := by
@@ -68,4 +64,8 @@ theorem to_int_sub_to_nat_lt (x y : ℤ) (x' : ℕ)
have : 0 ≤ x := by omega
simp [Int.toNat_sub_of_le, *]
+-- WARNING: do not use this with `simp` as it might loop. The left-hand side indeed reduces to the
+-- righ-hand side, meaning the rewriting can be applied to `n` itself.
+theorem ofNat_instOfNatNat_eq (n : Nat) : @OfNat.ofNat Nat n (instOfNatNat n) = n := by rfl
+
end Arith
diff --git a/backends/lean/Base/Arith/Int.lean b/backends/lean/Base/Arith/Int.lean
index 068d6f2f..b1927cfd 100644
--- a/backends/lean/Base/Arith/Int.lean
+++ b/backends/lean/Base/Arith/Int.lean
@@ -3,6 +3,7 @@
import Lean
import Lean.Meta.Tactic.Simp
import Init.Data.List.Basic
+import Mathlib.Tactic.Ring.RingNF
import Base.Utils
import Base.Arith.Base
@@ -111,7 +112,7 @@ def collectInstancesFromMainCtx (k : Expr → MetaM (Option Expr)) : Tactic.Tact
let hs := HashSet.empty
-- Explore the declarations
let decls ← ctx.getDecls
- let hs ← decls.foldlM (fun hs d => do
+ let hs ← decls.foldlM (fun hs d => do
-- Collect instances over all subexpressions in the context.
-- Note that we explore the *type* of the local declarations: if we have
-- for instance `h : A ∧ B` in the context, the expression itself is simply
@@ -154,7 +155,7 @@ def lookupHasIntPred (e : Expr) : MetaM (Option Expr) :=
lookupProp "lookupHasIntPred" ``HasIntPred e (fun term => pure #[term]) (fun _ => pure #[])
-- Collect the instances of `HasIntPred` for the subexpressions in the context
-def collectHasIntPredInstancesFromMainCtx : Tactic.TacticM (HashSet Expr) := do
+def collectHasIntPredInstancesFromMainCtx : Tactic.TacticM (HashSet Expr) := do
collectInstancesFromMainCtx lookupHasIntPred
-- Return an instance of `PropHasImp` for `e` if it has some
@@ -201,7 +202,7 @@ def introInstances (declToUnfold : Name) (lookup : Expr → MetaM (Option Expr))
-- Add a declaration
let nval ← Utils.addDeclTac name e type (asLet := false)
-- Simplify to unfold the declaration to unfold (i.e., the projector)
- Utils.simpAt true {} #[] [declToUnfold] [] [] (Location.targets #[mkIdent name] false)
+ Utils.simpAt true {} [] [declToUnfold] [] [] (Location.targets #[mkIdent name] false)
-- Return the new value
pure nval
@@ -214,7 +215,7 @@ def introHasIntPropInstances : Tactic.TacticM (Array Expr) := do
elab "intro_has_int_prop_instances" : tactic => do
let _ ← introHasIntPropInstances
-def introHasIntPredInstances : Tactic.TacticM (Array Expr) := do
+def introHasIntPredInstances : Tactic.TacticM (Array Expr) := do
trace[Arith] "Introducing the HasIntPred instances"
introInstances ``HasIntPred.concl lookupHasIntPred
@@ -230,6 +231,8 @@ def introPropHasImpInstances : Tactic.TacticM (Array Expr) := do
elab "intro_prop_has_imp_instances" : tactic => do
let _ ← introPropHasImpInstances
+def intTacSimpRocs : List Name := [``Int.reduceNegSucc, ``Int.reduceNeg]
+
/- Boosting a bit the `omega` tac.
-/
def intTacPreprocess (extraPreprocess : Tactic.TacticM Unit) : Tactic.TacticM Unit := do
@@ -244,7 +247,33 @@ def intTacPreprocess (extraPreprocess : Tactic.TacticM Unit) : Tactic.TacticM U
extraPreprocess
-- Reduce all the terms in the goal - note that the extra preprocessing step
-- might have proven the goal, hence the `Tactic.allGoals`
- Tactic.allGoals do tryTac (dsimpAt false {} #[] [] [] [] Tactic.Location.wildcard)
+ let dsimp :=
+ Tactic.allGoals do tryTac (
+ -- We set `simpOnly` at false on purpose
+ dsimpAt false {} intTacSimpRocs
+ -- Declarations to unfold
+ []
+ -- Theorems
+ []
+ [] Tactic.Location.wildcard)
+ dsimp
+ -- More preprocessing: apply norm_cast to the whole context
+ Tactic.allGoals (Utils.tryTac (Utils.normCastAtAll))
+ -- norm_cast does weird things with negative numbers so we reapply simp
+ dsimp
+ -- We also need this, in case the goal is: ¬ False
+ Tactic.allGoals do tryTac (
+ Utils.simpAt true {}
+ -- Simprocs
+ intTacSimpRocs
+ -- Unfoldings
+ []
+ -- Simp lemmas
+ [``not_false_eq_true]
+ -- Hypotheses
+ []
+ (.targets #[] true)
+ )
elab "int_tac_preprocess" : tactic =>
intTacPreprocess (do pure ())
@@ -260,8 +289,6 @@ def intTac (tacName : String) (splitGoalConjs : Bool) (extraPreprocess : Tactic
-- Preprocess - wondering if we should do this before or after splitting
-- the goal. I think before leads to a smaller proof term?
Tactic.allGoals (intTacPreprocess extraPreprocess)
- -- More preprocessing
- Tactic.allGoals (Utils.tryTac (Utils.simpAt true {} #[] [] [``nat_zero_eq_int_zero] [] .wildcard))
-- Split the conjunctions in the goal
if splitGoalConjs then Tactic.allGoals (Utils.repeatTac Utils.splitConjTarget)
-- Call omega
@@ -298,4 +325,11 @@ example (x y : Int) (h0: 0 ≤ x) (h1: x ≠ 0) (h2 : 0 ≤ y) (h3 : y ≠ 0) :
example (a : Prop) (x : Int) (h0: 0 < x) (h1: x < 0) : a := by
int_tac
+-- Intermediate cast through natural numbers
+example (a : Prop) (x : Int) (h0: (0 : Nat) < x) (h1: x < 0) : a := by
+ int_tac
+
+example (x : Int) (h : x ≤ -3) : x ≤ -2 := by
+ int_tac
+
end Arith
diff --git a/backends/lean/Base/Arith/Scalar.lean b/backends/lean/Base/Arith/Scalar.lean
index ecc5acaf..31110b95 100644
--- a/backends/lean/Base/Arith/Scalar.lean
+++ b/backends/lean/Base/Arith/Scalar.lean
@@ -19,7 +19,7 @@ def scalarTacExtraPreprocess : Tactic.TacticM Unit := do
-- Reveal the concrete bounds, simplify calls to [ofInt]
Utils.simpAt true {}
-- Simprocs
- #[]
+ intTacSimpRocs
-- Unfoldings
[``Scalar.min, ``Scalar.max, ``Scalar.cMin, ``Scalar.cMax,
``I8.min, ``I16.min, ``I32.min, ``I64.min, ``I128.min,
@@ -59,11 +59,11 @@ instance (ty : ScalarTy) : HasIntProp (Scalar ty) where
-- prop_ty is inferred
prop := λ x => And.intro x.hmin x.hmax
-example (x y : U32) : x.val ≤ Scalar.max ScalarTy.U32 := by
+example (x _y : U32) : x.val ≤ Scalar.max ScalarTy.U32 := by
intro_has_int_prop_instances
simp [*]
-example (x y : U32) : x.val ≤ Scalar.max ScalarTy.U32 := by
+example (x _y : U32) : x.val ≤ Scalar.max ScalarTy.U32 := by
scalar_tac
-- Checking that we explore the goal *and* projectors correctly
@@ -92,4 +92,10 @@ example (x : U32) (h0 : ¬ x = U32.ofInt 0) : 0 < x.val := by
example {u: U64} (h1: (u : Int) < 2): (u : Int) = 0 ∨ (u : Int) = 1 := by
scalar_tac
+example (x : I32) : -100000000000 < x.val := by
+ scalar_tac
+
+example : (Usize.ofInt 2).val ≠ 0 := by
+ scalar_tac
+
end Arith
diff --git a/backends/lean/Base/IList/IList.lean b/backends/lean/Base/IList/IList.lean
index 96843f55..ab71daed 100644
--- a/backends/lean/Base/IList/IList.lean
+++ b/backends/lean/Base/IList/IList.lean
@@ -43,6 +43,9 @@ def index [Inhabited α] (ls : List α) (i : Int) : α :=
@[simp] theorem index_zero_cons [Inhabited α] : index ((x :: tl) : List α) 0 = x := by simp [index]
@[simp] theorem index_nzero_cons [Inhabited α] (hne : i ≠ 0) : index ((x :: tl) : List α) i = index tl (i - 1) := by simp [*, index]
+@[simp] theorem index_zero_lt_cons [Inhabited α] (hne : 0 < i) : index ((x :: tl) : List α) i = index tl (i - 1) := by
+ have : i ≠ 0 := by scalar_tac
+ simp [*, index]
theorem indexOpt_bounds (ls : List α) (i : Int) :
ls.indexOpt i = none ↔ i < 0 ∨ ls.len ≤ i :=
@@ -453,16 +456,18 @@ theorem index_update_eq
simp at *
apply index_update_eq <;> scalar_tac
-theorem update_map_eq {α : Type u} {β : Type v} (ls : List α) (i : Int) (x : α) (f : α → β) :
+@[simp]
+theorem map_update_eq {α : Type u} {β : Type v} (ls : List α) (i : Int) (x : α) (f : α → β) :
(ls.update i x).map f = (ls.map f).update i (f x) :=
match ls with
| [] => by simp
| hd :: tl =>
if h : i = 0 then by simp [*]
else
- have hi := update_map_eq tl (i - 1) x f
+ have hi := map_update_eq tl (i - 1) x f
by simp [*]
+@[simp]
theorem len_flatten_update_eq {α : Type u} (ls : List (List α)) (i : Int) (x : List α)
(h0 : 0 ≤ i) (h1 : i < ls.len) :
(ls.update i x).flatten.len = ls.flatten.len + x.len - (ls.index i).len :=
@@ -476,6 +481,20 @@ theorem len_flatten_update_eq {α : Type u} (ls : List (List α)) (i : Int) (x :
simp [*]
int_tac
+theorem len_index_le_len_flatten (ls : List (List α)) :
+ forall (i : Int), (ls.index i).len ≤ ls.flatten.len := by
+ induction ls <;> intro i <;> simp_all
+ . rw [List.index]
+ simp [default]
+ . rename ∀ _, _ => ih
+ if hi: i = 0 then
+ simp_all
+ int_tac
+ else
+ replace ih := ih (i - 1)
+ simp_all
+ int_tac
+
@[simp]
theorem index_map_eq {α : Type u} {β : Type v} [Inhabited α] [Inhabited β] (ls : List α) (i : Int) (f : α → β)
(h0 : 0 ≤ i) (h1 : i < ls.len) :
diff --git a/backends/lean/Base/Primitives/ArraySlice.lean b/backends/lean/Base/Primitives/ArraySlice.lean
index be460987..899871af 100644
--- a/backends/lean/Base/Primitives/ArraySlice.lean
+++ b/backends/lean/Base/Primitives/ArraySlice.lean
@@ -129,7 +129,7 @@ example {a: Type u} (v : Slice a) : v.length ≤ Scalar.max ScalarTy.Usize := by
def Slice.new (α : Type u): Slice α := ⟨ [], by apply Scalar.cMax_suffices .Usize; simp ⟩
-- TODO: very annoying that the α is an explicit parameter
-def Slice.len (α : Type u) (v : Slice α) : Usize :=
+abbrev Slice.len (α : Type u) (v : Slice α) : Usize :=
Usize.ofIntCore v.val.len (by constructor <;> scalar_tac)
@[simp]
diff --git a/backends/lean/Base/Primitives/Scalar.lean b/backends/lean/Base/Primitives/Scalar.lean
index 9f809ead..31038e0d 100644
--- a/backends/lean/Base/Primitives/Scalar.lean
+++ b/backends/lean/Base/Primitives/Scalar.lean
@@ -1301,22 +1301,25 @@ instance {ty} : LT (Scalar ty) where
instance {ty} : LE (Scalar ty) where le a b := LE.le a.val b.val
--- Not marking this one with @[simp] on purpose
+-- Not marking this one with @[simp] on purpose: if we have `x = y` somewhere in the context,
+-- we may want to use it to substitute `y` with `x` somewhere.
+-- TODO: mark it as simp anyway?
theorem Scalar.eq_equiv {ty : ScalarTy} (x y : Scalar ty) :
x = y ↔ (↑x : Int) = ↑y := by
cases x; cases y; simp_all
-- This is sometimes useful when rewriting the goal with the local assumptions
+-- TODO: this doesn't get triggered
@[simp] theorem Scalar.eq_imp {ty : ScalarTy} (x y : Scalar ty) :
(↑x : Int) = ↑y → x = y := (eq_equiv x y).mpr
-theorem Scalar.lt_equiv {ty : ScalarTy} (x y : Scalar ty) :
+@[simp] theorem Scalar.lt_equiv {ty : ScalarTy} (x y : Scalar ty) :
x < y ↔ (↑x : Int) < ↑y := by simp [LT.lt]
@[simp] theorem Scalar.lt_imp {ty : ScalarTy} (x y : Scalar ty) :
(↑x : Int) < (↑y) → x < y := (lt_equiv x y).mpr
-theorem Scalar.le_equiv {ty : ScalarTy} (x y : Scalar ty) :
+@[simp] theorem Scalar.le_equiv {ty : ScalarTy} (x y : Scalar ty) :
x ≤ y ↔ (↑x : Int) ≤ ↑y := by simp [LE.le]
@[simp] theorem Scalar.le_imp {ty : ScalarTy} (x y : Scalar ty) :
@@ -1377,8 +1380,6 @@ theorem coe_max {ty: ScalarTy} (a b: Scalar ty): ↑(Max.max a b) = (Max.max (
-- TODO: there should be a shorter way to prove this.
rw [max_def, max_def]
split_ifs <;> simp_all
- refine' absurd _ (lt_irrefl a)
- exact lt_of_le_of_lt (by assumption) ((Scalar.lt_equiv _ _).2 (by assumption))
-- Max theory
-- TODO: do the min theory later on.
diff --git a/backends/lean/Base/Primitives/Vec.lean b/backends/lean/Base/Primitives/Vec.lean
index 0b010944..e584777a 100644
--- a/backends/lean/Base/Primitives/Vec.lean
+++ b/backends/lean/Base/Primitives/Vec.lean
@@ -33,14 +33,15 @@ abbrev Vec.v {α : Type u} (v : Vec α) : List α := v.val
example {a: Type u} (v : Vec a) : v.length ≤ Scalar.max ScalarTy.Usize := by
scalar_tac
-def Vec.new (α : Type u): Vec α := ⟨ [], by apply Scalar.cMax_suffices .Usize; simp ⟩
+abbrev Vec.new (α : Type u): Vec α := ⟨ [], by apply Scalar.cMax_suffices .Usize; simp ⟩
instance (α : Type u) : Inhabited (Vec α) := by
constructor
apply Vec.new
-- TODO: very annoying that the α is an explicit parameter
-def Vec.len (α : Type u) (v : Vec α) : Usize :=
+@[simp]
+abbrev Vec.len (α : Type u) (v : Vec α) : Usize :=
Usize.ofIntCore v.val.len (by constructor <;> scalar_tac)
@[simp]
@@ -63,6 +64,14 @@ def Vec.push (α : Type u) (v : Vec α) (x : α) : Result (Vec α)
else
fail maximumSizeExceeded
+@[pspec]
+theorem Vec.push_spec {α : Type u} (v : Vec α) (x : α) (h : v.val.len < Usize.max) :
+ ∃ v1, v.push α x = ok v1 ∧
+ v1.val = v.val ++ [x] := by
+ simp [push]
+ split <;> simp_all [List.len_eq_length]
+ scalar_tac
+
-- This shouldn't be used
def Vec.insert_fwd (α : Type u) (v: Vec α) (i: Usize) (_: α) : Result Unit :=
if i.val < v.length then
diff --git a/backends/lean/Base/Progress/Progress.lean b/backends/lean/Base/Progress/Progress.lean
index da601b73..35cc8399 100644
--- a/backends/lean/Base/Progress/Progress.lean
+++ b/backends/lean/Base/Progress/Progress.lean
@@ -131,7 +131,7 @@ def progressWith (fExpr : Expr) (th : TheoremOrLocal)
Tactic.focus do
let _ ←
tryTac
- (simpAt true {} #[] []
+ (simpAt true {} [] []
[``Primitives.bind_tc_ok, ``Primitives.bind_tc_fail, ``Primitives.bind_tc_div]
[hEq.fvarId!] (.targets #[] true))
-- It may happen that at this point the goal is already solved (though this is rare)
@@ -140,7 +140,7 @@ def progressWith (fExpr : Expr) (th : TheoremOrLocal)
else
trace[Progress] "goal after applying the eq and simplifying the binds: {← getMainGoal}"
-- TODO: remove this (some types get unfolded too much: we "fold" them back)
- let _ ← tryTac (simpAt true {} #[] [] scalar_eqs [] .wildcard_dep)
+ let _ ← tryTac (simpAt true {} [] [] scalar_eqs [] .wildcard_dep)
trace[Progress] "goal after folding back scalar types: {← getMainGoal}"
-- Clear the equality, unless the user requests not to do so
let mgoal ← do
@@ -410,7 +410,7 @@ namespace Test
-- This spec theorem is suboptimal, but it is good to check that it works
progress with Scalar.add_spec as ⟨ z, h1 .. ⟩
simp [*, h1]
-
+
example {x y : U32}
(hmax : x.val + y.val ≤ U32.max) :
∃ z, x + y = ok z ∧ z.val = x.val + y.val := by
diff --git a/backends/lean/Base/Utils.lean b/backends/lean/Base/Utils.lean
index 5954f048..b9de2fd1 100644
--- a/backends/lean/Base/Utils.lean
+++ b/backends/lean/Base/Utils.lean
@@ -664,21 +664,26 @@ example (h : ∃ x y z, x + y + z ≥ 0) : ∃ x, x ≥ 0 := by
Something very annoying is that there is no function which allows to
initialize a simp context without doing an elaboration - as a consequence
we write our own here. -/
-def mkSimpCtx (simpOnly : Bool) (config : Simp.Config) (declsToUnfold : List Name) (thms : List Name) (hypsToUse : List FVarId) :
- Tactic.TacticM Simp.Context := do
+def mkSimpCtx (simpOnly : Bool) (config : Simp.Config) (kind : SimpKind)
+ (simprocs : List Name) (declsToUnfold : List Name)
+ (thms : List Name) (hypsToUse : List FVarId) :
+ Tactic.TacticM (Simp.Context × Simp.SimprocsArray) := do
-- Initialize either with the builtin simp theorems or with all the simp theorems
let simpThms ←
if simpOnly then Tactic.simpOnlyBuiltins.foldlM (·.addConst ·) ({} : SimpTheorems)
else getSimpTheorems
-- Add the equational theorem for the declarations to unfold
+ let addDeclToUnfold (thms : SimpTheorems) (decl : Name) : Tactic.TacticM SimpTheorems :=
+ if kind == .dsimp then pure (thms.addDeclToUnfoldCore decl)
+ else thms.addDeclToUnfold decl
let simpThms ←
- declsToUnfold.foldlM (fun thms decl => thms.addDeclToUnfold decl) simpThms
+ declsToUnfold.foldlM addDeclToUnfold simpThms
-- Add the hypotheses and the rewriting theorems
let simpThms ←
hypsToUse.foldlM (fun thms fvarId =>
- -- post: TODO: don't know what that is
+ -- post: TODO: don't know what that is. It seems to be true by default.
-- inv: invert the equality
- thms.add (.fvar fvarId) #[] (mkFVar fvarId) (post := false) (inv := false)
+ thms.add (.fvar fvarId) #[] (mkFVar fvarId) (post := true) (inv := false)
-- thms.eraseCore (.fvar fvar)
) simpThms
-- Add the rewriting theorems to use
@@ -693,7 +698,10 @@ def mkSimpCtx (simpOnly : Bool) (config : Simp.Config) (declsToUnfold : List Nam
throwError "Not a proposition: {thmName}"
) simpThms
let congrTheorems ← getSimpCongrTheorems
- pure { config, simpTheorems := #[simpThms], congrTheorems }
+ let defaultSimprocs ← if simpOnly then pure {} else Simp.getSimprocs
+ let simprocs ← simprocs.foldlM (fun simprocs name => simprocs.add name true) defaultSimprocs
+ let ctx := { config, simpTheorems := #[simpThms], congrTheorems }
+ pure (ctx, #[simprocs])
inductive Location where
/-- Apply the tactic everywhere. Same as `Tactic.Location.wildcard` -/
@@ -725,30 +733,30 @@ def customSimpLocation (ctx : Simp.Context) (simprocs : Simp.SimprocsArray) (dis
simpLocation.go ctx simprocs discharge? tgts (simplifyTarget := true)
/- Call the simp tactic. -/
-def simpAt (simpOnly : Bool) (config : Simp.Config) (simprocs : Simp.SimprocsArray)
+def simpAt (simpOnly : Bool) (config : Simp.Config) (simprocs : List Name)
(declsToUnfold : List Name) (thms : List Name) (hypsToUse : List FVarId) (loc : Location) :
Tactic.TacticM Unit := do
-- Initialize the simp context
- let ctx ← mkSimpCtx simpOnly config declsToUnfold thms hypsToUse
+ let (ctx, simprocs) ← mkSimpCtx simpOnly config .simp simprocs declsToUnfold thms hypsToUse
-- Apply the simplifier
let _ ← customSimpLocation ctx simprocs (discharge? := .none) loc
/- Call the dsimp tactic. -/
-def dsimpAt (simpOnly : Bool) (config : Simp.Config) (simprocs : Simp.SimprocsArray)
+def dsimpAt (simpOnly : Bool) (config : Simp.Config) (simprocs : List Name)
(declsToUnfold : List Name) (thms : List Name) (hypsToUse : List FVarId) (loc : Tactic.Location) :
Tactic.TacticM Unit := do
-- Initialize the simp context
- let ctx ← mkSimpCtx simpOnly config declsToUnfold thms hypsToUse
+ let (ctx, simprocs) ← mkSimpCtx simpOnly config .dsimp simprocs declsToUnfold thms hypsToUse
-- Apply the simplifier
dsimpLocation ctx simprocs loc
-- Call the simpAll tactic
-def simpAll (config : Simp.Config) (declsToUnfold : List Name) (thms : List Name) (hypsToUse : List FVarId) :
+def simpAll (config : Simp.Config) (simprocs : List Name) (declsToUnfold : List Name) (thms : List Name) (hypsToUse : List FVarId) :
Tactic.TacticM Unit := do
-- Initialize the simp context
- let ctx ← mkSimpCtx false config declsToUnfold thms hypsToUse
+ let (ctx, simprocs) ← mkSimpCtx false config .simpAll simprocs declsToUnfold thms hypsToUse
-- Apply the simplifier
- let _ ← Lean.Meta.simpAll (← getMainGoal) ctx
+ let _ ← Lean.Meta.simpAll (← getMainGoal) ctx simprocs
/- Adapted from Elab.Tactic.Rewrite -/
def rewriteTarget (eqThm : Expr) (symm : Bool) (config : Rewrite.Config := {}) : TacticM Unit := do
@@ -811,4 +819,12 @@ def rewriteAt (cfg : Rewrite.Config) (rpt : Bool)
else
evalRewriteSeqAux cfg thms loc
+/-- Apply norm_cast to the whole context -/
+def normCastAtAll : TacticM Unit := do
+ withMainContext do
+ let ctx ← Lean.MonadLCtx.getLCtx
+ let decls ← ctx.getDecls
+ NormCast.normCastTarget
+ decls.forM (fun d => NormCast.normCastHyp d.fvarId)
+
end Utils