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refactor(hott/choice): rename 3.8.5

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seulbaek 2016-01-19 16:18:54 -08:00 committed by Leonardo de Moura
parent 107550238b
commit 92d6806073
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hott/choice.hlean
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@ -83,7 +83,7 @@ section
end
-- 3.8.5. There exists a type X and a family Y : X → U such that each Y(x) is a set, but such that (3.8.3) is false.
definition index_must_be_hset : Σ (X : Type.{1}) (Y : X -> Type.{1})
definition X_must_be_hset : Σ (X : Type.{1}) (Y : X -> Type.{1})
(HA : Π x : X, is_hset (Y x)), ¬ ((Π x : X, ∥ Y x ∥) -> ∥ Π x : X, Y x ∥) :=
⟨X, Y, is_hset_Yx, λ H, trunc.rec_on (H trunc_Yx)
(λ H0, not_is_hset_X (@is_trunc_of_is_contr _ _ (is_contr.mk x0 H0)))⟩