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fix(builtin/heq): extensionality axioms

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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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Leonardo de Moura 2014-01-17 12:56:36 -08:00
parent 64795c6c42
commit 52756c50fc
1 changed files with 3 additions and 3 deletions
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src/builtin/heq.lean
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@ -27,13 +27,13 @@ axiom hcongr {A A' : TypeH} {B : A → TypeH} {B' : A' → TypeH} {f : ∀ x, B
f == f' → a == a' → f a == f' a' f == f' → a == a' → f a == f' a'
axiom hfunext {A A' : TypeH} {B : A → TypeH} {B' : A' → TypeH} {f : ∀ x, B x} {f' : ∀ x, B' x} : axiom hfunext {A A' : TypeH} {B : A → TypeH} {B' : A' → TypeH} {f : ∀ x, B x} {f' : ∀ x, B' x} :
A = A' → (∀ x x', f x == f' x') → f == f' A = A' → (∀ x x', x == x' → f x == f' x') → f == f'
axiom hpiext {A A' : TypeH} {B : A → TypeH} {B' : A' → TypeH} : axiom hpiext {A A' : TypeH} {B : A → TypeH} {B' : A' → TypeH} :
A = A' → (∀ x x', B x == B' x') → (∀ x, B x) == (∀ x, B' x) A = A' → (∀ x x', x == x' → B x == B' x') → (∀ x, B x) == (∀ x, B' x)
axiom hallext {A A' : TypeH} {B : A → Bool} {B' : A' → Bool} : axiom hallext {A A' : TypeH} {B : A → Bool} {B' : A' → Bool} :
A = A' → (∀ x x', B x == B' x') → (∀ x, B x) == (∀ x, B' x) A = A' → (∀ x x', x == x' → B x == B' x') → (∀ x, B x) == (∀ x, B' x)
variable cast {A B : TypeH} : A = B → A → B variable cast {A B : TypeH} : A = B → A → B