Strengthened mere choice

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niels committed 2017-08-14 12:43:15 +02:00
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@@ -110,8 +110,7 @@ Section structure_k_finite.
intros.
destruct X0 as [SX EX].
rewrite EX.
simple refine (Trunc_ind _ _ (merely_choice SX)).
intros [SXE | H1].
destruct (merely_choice SX) as [SXE | H1].
- rewrite SXE.
apply (tr (inl idpath)).
- apply (tr (inr H1)).