62f14514da
This PR updates various error messages produced by or associated with built-in tactics and adapts their formatting to current conventions.
38 lines
1.3 KiB
Text
38 lines
1.3 KiB
Text
def List.pwFilter {α} (R : α → α → Prop) [DecidableRel R] (l : List α) : List α :=
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l.foldr (fun x IH => if ∀ y ∈ IH, R x y then x :: IH else IH) []
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def List.dedup {α} [DecidableEq α] : List α → List α :=
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List.pwFilter (· ≠ ·)
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def Multiset.{u} : Type u → Type u :=
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fun α => Quotient (List.isSetoid α)
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def Multiset.ofList {α} : List α → Multiset α :=
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Quot.mk _
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def Multiset.map {α β} (f : α → β) (s : Multiset α) : Multiset β :=
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Quot.liftOn s (fun l : List α => Multiset.ofList (l.map f)) fun _l₁ _l₂ p => Quot.sound (p.map f)
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def Multiset.dedup {α} [DecidableEq α] (s : Multiset α) : Multiset α :=
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Quot.liftOn s (fun l => Multiset.ofList l.dedup) fun l₁ l₂ p => Quot.sound (by sorry)
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def Multiset.card {α} : Multiset α → Nat := Quot.lift List.length fun _l₁ _l₂ => List.Perm.length_eq
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def test (_ : Unit) : Bool :=
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let m := Multiset.ofList [0, 1]
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let m := Multiset.map (fun i => i) m
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let m := m.dedup
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m.card < 2
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/--
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error: Tactic `native_decide` evaluated that the proposition
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(let p := fun i => i;
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(Multiset.map (fun i => i) (Multiset.ofList [0, 1])).dedup).card <
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2
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is false
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-/
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#guard_msgs in
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theorem claim :
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( let p : Nat → Nat := fun i => i;
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(Multiset.map (fun i => i) (Multiset.ofList [0,1])).dedup).card < 2 := by
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native_decide
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