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Adapt to rocq#19987 #1532

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4 changes: 2 additions & 2 deletions classical/functions.v
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Original file line number Diff line number Diff line change
Expand Up @@ -1734,15 +1734,15 @@ Lemma reindex_bigcup {aT rT I} (f : aT -> I) (P : set aT) (Q : set I)
(F : I -> set rT) : set_fun P Q f -> set_surj P Q f ->
\bigcup_(x in Q) F x = \bigcup_(x in P) F (f x).
Proof.
by move=> /image_subP fPQ /(surj_image_eq fPQ)<-; rewrite bigcup_image.
by move=> /image_subP fPQ /(surj_image_eq fPQ) QE; rewrite -[Q]QE bigcup_image.
Qed.
Arguments reindex_bigcup {aT rT I} f P Q.

Lemma reindex_bigcap {aT rT I} (f : aT -> I) (P : set aT) (Q : set I)
(F : I -> set rT) : set_fun P Q f -> set_surj P Q f ->
\bigcap_(x in Q) F x = \bigcap_(x in P) F (f x).
Proof.
by move=> /image_subP fPQ /(surj_image_eq fPQ)<-; rewrite bigcap_image.
by move=> /image_subP fPQ /(surj_image_eq fPQ) QE; rewrite -[Q]QE bigcap_image.
Qed.
Arguments reindex_bigcap {aT rT I} f P Q.

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2 changes: 1 addition & 1 deletion theories/function_spaces.v
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Expand Up @@ -1426,7 +1426,7 @@ Lemma continuous_curry (f : U * V -> W) :
continuous (curry f) /\ forall u, continuous (curry f u).
Proof.
move=> ctsf; split; first last.
move=> u z; apply: continuous_comp; last exact: ctsf.
move=> u z; apply: (continuous_comp _ (ctsf (u, z))).
by apply: cvg_pair => //=; exact: cvg_cst.
move=> x; apply/compact_open_cvgP => K O /= cptK oO fKO.
near=> z => w /= [+ + <-]; near: z.
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