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chore: update syntax in grind_ite example (#8475)
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tests/lean/run/grind_ite.lean

Lines changed: 8 additions & 8 deletions
Original file line numberDiff line numberDiff line change
@@ -66,7 +66,7 @@ def vars : IfExpr → List Nat
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/--
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A helper function to specify that two lists are disjoint.
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-/
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@[grind] def _root_.List.disjoint {α} [DecidableEq α] : List α → List α → Bool
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def _root_.List.disjoint {α} [DecidableEq α] : List α → List α → Bool
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| [], _ => true
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| x::xs, ys => x ∉ ys && xs.disjoint ys
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@@ -150,13 +150,13 @@ def normalize (assign : Std.HashMap Nat Bool) : IfExpr → IfExpr
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termination_by e => e.normSize
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-- We tell `grind` to unfold our definitions above.
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attribute [local grind] normalized hasNestedIf hasConstantIf hasRedundantIf disjoint vars eval
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attribute [local grind] normalized hasNestedIf hasConstantIf hasRedundantIf disjoint vars eval List.disjoint
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theorem normalize_spec (assign : Std.HashMap Nat Bool) (e : IfExpr) :
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(normalize assign e).normalized
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∧ (∀ f, (normalize assign e).eval f = e.eval fun w => assign[w]?.getD (f w))
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∧ ∀ (v : Nat), v ∈ vars (normalize assign e) → ¬ v ∈ assign := by
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fun_induction normalize <;> grind (gen := 7)
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fun_induction normalize with grind (gen := 7)
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-- We can also prove other variations, where we spell "`v` is not in `assign`"
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-- different ways, and `grind` doesn't mind.
@@ -165,13 +165,13 @@ example (assign : Std.HashMap Nat Bool) (e : IfExpr) :
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(normalize assign e).normalized
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∧ (∀ f, (normalize assign e).eval f = e.eval fun w => assign[w]?.getD (f w))
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∧ ∀ (v : Nat), v ∈ vars (normalize assign e) → assign.contains v = false := by
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fun_induction normalize <;> grind (gen := 7)
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fun_induction normalize with grind (gen := 7)
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example (assign : Std.HashMap Nat Bool) (e : IfExpr) :
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(normalize assign e).normalized
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∧ (∀ f, (normalize assign e).eval f = e.eval fun w => assign[w]?.getD (f w))
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∧ ∀ (v : Nat), v ∈ vars (normalize assign e) → assign[v]? = none := by
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fun_induction normalize <;> grind (gen := 8)
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fun_induction normalize with grind (gen := 8)
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/--
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We recall the statement of the if-normalization problem.
@@ -207,18 +207,18 @@ theorem normalize'_spec (assign : Std.TreeMap Nat Bool) (e : IfExpr) :
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(normalize' assign e).normalized
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∧ (∀ f, (normalize' assign e).eval f = e.eval fun w => assign[w]?.getD (f w))
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∧ ∀ (v : Nat), v ∈ vars (normalize' assign e) → ¬ v ∈ assign := by
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fun_induction normalize' <;> grind (gen := 7)
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fun_induction normalize' with grind (gen := 7)
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example (assign : Std.TreeMap Nat Bool) (e : IfExpr) :
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(normalize' assign e).normalized
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∧ (∀ f, (normalize' assign e).eval f = e.eval fun w => assign[w]?.getD (f w))
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∧ ∀ (v : Nat), v ∈ vars (normalize' assign e) → assign.contains v = false := by
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fun_induction normalize' <;> grind (gen := 7)
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fun_induction normalize' with grind (gen := 7)
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example (assign : Std.TreeMap Nat Bool) (e : IfExpr) :
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(normalize' assign e).normalized
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∧ (∀ f, (normalize' assign e).eval f = e.eval fun w => assign[w]?.getD (f w))
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∧ ∀ (v : Nat), v ∈ vars (normalize' assign e) → assign[v]? = none := by
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fun_induction normalize' <;> grind (gen := 8)
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fun_induction normalize' with grind (gen := 8)
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end IfExpr

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