lean4-htt/tests/lean/print_ax1.lean.expected.out
Leonardo de Moura 0c6108ce7a chore(library/init/data/quot): use Sort instead of Type
Remark: The kernel was already using Sort. So, the limitation was
artificial. Moreover, it may seem unnecessary to have quotients of
proofs in a proof irrelevant system, but this is useful for proving
a more general funext lemma. This more general version is needed in
the new tested contributed by @digama0.
2017-03-07 14:29:57 -08:00

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quot.sound : ∀ {α : Sort u} {r : αα → Prop} {a b : α}, r a b → quot.mk r a = quot.mk r b
classical.choice : Π {α : Sort u}, nonempty αα
propext : ∀ {a b : Prop}, (a ↔ b) → a = b