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fix
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affeldt-aist committed Oct 21, 2020
1 parent 66a92c0 commit 5843419
Showing 1 changed file with 2 additions and 4 deletions.
6 changes: 2 additions & 4 deletions theories/normedtype.v
Original file line number Diff line number Diff line change
Expand Up @@ -4390,7 +4390,7 @@ rewrite /= opprD addrA addrN add0r normrN normmZ normrxx ?subr_eq0// mulr1.
rewrite normrM gtr0_norm // gtr0_norm //.
by rewrite ltr_pdivr_mulr // mulr_natr mulr2n ltr_spaddl.
Qed.


Lemma closed_closed_ball (R: realFieldType) (V: normedModType R) (x : V)
(e : {posnum R}): closed (closed_ball x e%:num).
Expand All @@ -4403,9 +4403,7 @@ Qed.

Lemma closed_open_ball (R: numDomainType) (V: pseudoMetricType R) (x : V) (r : R) :
exists e, ball x e `<=` closed_ball x r.
Proof.
by move=> _; exists r; exact: subset_closure.
Qed.
Proof. by exists r; exact: subset_closure. Qed.

(* Lemma nbhs_ballrP (R : numDomainType) (M : pseudoMetricNormedZmodType R) *)
(* (B : set M) (x: M): *)
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