chore(library/data): remove redundent decidable_eq instances
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2 changed files with 0 additions and 33 deletions
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@ -62,25 +62,4 @@ theorem length_firstn
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... = min (succ n) (succ (length l))
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: eq.symm (nat.min_succ_succ n (length l))
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/- decidable -/
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definition has_decidable_eq [h : decidable_eq α]
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: ∀ (x y : list α), decidable (x = y)
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| nil nil := is_true rfl
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| nil (cons b s) := is_false (λ q, list.no_confusion q)
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| (cons a r) nil := is_false (λ q, list.no_confusion q)
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| (cons a r) (cons b s) :=
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match h a b with
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| (is_true h₁) :=
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match has_decidable_eq r s with
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| (is_true h₂) :=
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is_true (calc a :: r = b :: r : congr_arg (λc, c :: r) h₁
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... = b :: s : congr_arg (λt, b :: t) h₂)
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| (is_false h₂) :=
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is_false (λ q, list.no_confusion q (λ heq teq, h₂ teq))
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end
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| (is_false h₁) :=
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is_false (λ q, list.no_confusion q (λ heq teq, h₁ heq))
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end
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end list
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@ -47,14 +47,6 @@ theorem tail_cons (a : α) : Π (v : tuple α n), tail (a :: v) = v
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definition to_list : tuple α n → list α | ⟨ l, h ⟩ := l
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definition has_decidable_eq [decidable_eq α] {n:ℕ}
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: ∀ (x y : tuple α n), decidable (x = y)
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| ⟨s,p⟩ ⟨t,q⟩ :=
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match list.has_decidable_eq s t with
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| (is_true h) := is_true (subtype.eq h)
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| (is_false h) := is_false (λr, subtype.no_confusion r (λleq (peq : p == q), h leq))
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end
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/- append -/
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definition append {n m : nat} : tuple α n → tuple α m → tuple α (n + m)
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@ -129,7 +121,3 @@ section accum
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end accum
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end tuple
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instance decide_tuple_eq {A:Type.{1}} [decidable_eq A] {n:ℕ}
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: ∀ {x y : tuple A n}, decidable (x = y)
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:= tuple.has_decidable_eq
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