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extra application of discrete_topology
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theories/cantor.v

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@@ -484,7 +484,7 @@ Local Lemma cantor_surj_pt1 : exists2 f : Tree -> T,
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Proof.
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pose entn n := projT2 (cid (ent_balls' (count_unif n))).
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have [ | |? []//| |? []// | |] := @tree_map_props
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(discrete_topology \o K) T (embed_refine) (embed_invar) cptT hsdfT.
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K T (embed_refine) (embed_invar) cptT hsdfT.
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- move=> n U; rewrite eqEsubset; split=> [t Ut|t [? ? []]//].
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have [//|_ _ _ + _] := entn n; rewrite -subTset.
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move=> /(_ t I)[W cbW Wt]; exists (existT _ W cbW) => //.

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