45862d5486
This PR improves the `simpArrowTelescope` simproc that simplifies non-dependent arrow telescopes: `p₁ → p₂ → ... → q`. The simproc now also applies telescope-specific simplifications: - `False → q` to `True` (when `q : Prop`) - `True → q` to `q` (when `q : Prop`) - `p → True` to `True`
96 lines
2.1 KiB
Text
96 lines
2.1 KiB
Text
import Lean
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open Lean Meta Elab Tactic
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elab "sym_simp" "[" declNames:ident,* "]" : tactic => do
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let rewrite ← Sym.mkSimprocFor (← declNames.getElems.mapM fun s => realizeGlobalConstNoOverload s.raw) Sym.Simp.dischargeSimpSelf
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let methods : Sym.Simp.Methods := {
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pre := Sym.Simp.simpControl.andThen Sym.Simp.simpArrowTelescope
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post := Sym.Simp.evalGround.andThen rewrite
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}
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liftMetaTactic1 fun mvarId => Sym.SymM.run do
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let mvarId ← Sym.preprocessMVar mvarId
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(← Sym.simpGoal mvarId methods).toOption
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example : (if true then a else b) = a := by
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sym_simp []
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example : (if True then a else b) = a := by
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sym_simp []
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example : (if False then a else b) = b := by
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sym_simp []
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/--
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trace: α✝ : Sort u_1
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x : α✝
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p q : Prop
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h : p → q
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⊢ p → q
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-/
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#guard_msgs in
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example (p q : Prop) (h : p → q) : True → p → x = x → q := by
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sym_simp []
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trace_state
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exact h
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example (p q : Prop) : q → p → True := by
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sym_simp []
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example (p q : Prop) : q → p → x = x := by
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sym_simp []
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example (q : Prop) : q → x ≠ x → True := by
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sym_simp []
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example (α : Type) (p : Prop) : α → p → x = x := by
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sym_simp []
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example (q : Prop) (α : Type) (p : Prop) : q → α → p → x = x := by
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sym_simp []
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example (α β : Type) (p q : Prop) : q → β → p → α → True := by
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sym_simp []
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/--
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trace: α✝ : Sort ?u.1893
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x : α✝
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α : Type
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p : Prop
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h : α → p → True → α
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⊢ α → p → True → α
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-/
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#guard_msgs in
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example (α : Type) (p : Prop) (h : α → p → True → α) : α → p → x = x → α := by
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sym_simp []
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trace_state
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exact h
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set_option linter.unusedVariables false
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/--
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trace: α✝ : Sort u_1
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x : α✝
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α : Type
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q : Prop
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h : False
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⊢ ∀ (a b : α), q
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-/
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#guard_msgs in
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example (α : Type) (q : Prop) (h : False) : (a : α) → x = x → (b : α) → True → q := by
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sym_simp []
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trace_state
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cases h
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/--
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trace: α✝ : Sort u_1
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x : α✝
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α : Type
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p q : Prop
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h : False
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⊢ ∀ (a : α) {b : α}, q
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-/
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#guard_msgs in
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example (α : Type) (p q : Prop) (h : False) : (a : α) → x = x → {b : α} → True → (q ∧ True) := by
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sym_simp [and_true]
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trace_state
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cases h
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