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Replace balls with entourages #119

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drouhling wants to merge 2 commits into from
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Replace balls with entourages #119

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a9fb691
Replace balls with entourages
Oct 31, 2018
19d922d
Fix for coq dev
Feb 25, 2019
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3 changes: 3 additions & 0 deletions classical_sets.v
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Expand Up @@ -350,6 +350,9 @@ move=> [i Di]; rewrite predeqE => a; split=> [[Ifa Xa] j Dj|IfIXa].
by split=> [j /IfIXa [] | ] //; have /IfIXa [] := Di.
Qed.

Lemma setMT A B : (@setT A) `*` (@setT B) = setT.
Proof. by rewrite predeqE. Qed.

Definition is_prop {A} (X : set A) := forall x y, X x -> X y -> x = y.
Definition is_fun {A B} (f : A -> B -> Prop) := all (is_prop \o f).
Definition is_total {A B} (f : A -> B -> Prop) := all (nonempty \o f).
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