[Merged by Bors] - chore(Absorbs, Balanced): more lemmas, golf, generalize #10201
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* add `balanced_iff_closedBall_smul`, `balanced_neg`; * generalize `Balanced.neg_mem_iff` to a `SeminormedRing` + `NormOneClass`, add `Balanced.neg_eq` * add `Balanced.smul_mem_mono` and `Balanced.smul_congr`; * rename `Balanced.mem_smul_iff` to `Balanced.smul_mem_iff`; * rename `balanced_zero_union_interior` to `Balanced.zero_insert_interior`, use `insert 0 (interior A)` instead of `0 ∪ interior A`; * make `Balanced.interior` and `Balanced.closure` protected; * deprecate `Absorbs.zero_mem'`; * rename `balanced_convexHull_of_balanced` to `Balanced.convexHull`; * add `absorbs_iff_eventually_cobounded_mapsTo`, use it to golf some proofs.
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* add `balanced_iff_closedBall_smul`, `balanced_neg`; * generalize `Balanced.neg_mem_iff` to a `SeminormedRing` + `NormOneClass`, add `Balanced.neg_eq` * add `Balanced.smul_mem_mono` and `Balanced.smul_congr`; * rename `Balanced.mem_smul_iff` to `Balanced.smul_mem_iff`; * rename `balanced_zero_union_interior` to `Balanced.zero_insert_interior`, use `insert 0 (interior A)` instead of `0 ∪ interior A`; * make `Balanced.interior` and `Balanced.closure` protected; * deprecate `Absorbs.zero_mem'`; * rename `balanced_convexHull_of_balanced` to `Balanced.convexHull`; * add `absorbs_iff_eventually_cobounded_mapsTo`, use it to golf some proofs.
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balanced_iff_closedBall_smul,balanced_neg;Balanced.neg_mem_iffto aSeminormedRing+NormOneClass,add
Balanced.neg_eqBalanced.smul_mem_monoandBalanced.smul_congr;Balanced.mem_smul_ifftoBalanced.smul_mem_iff;balanced_zero_union_interiortoBalanced.zero_insert_interior,use
insert 0 (interior A)instead of0 ∪ interior A;Balanced.interiorandBalanced.closureprotected;Absorbs.zero_mem';balanced_convexHull_of_balancedtoBalanced.convexHull;absorbs_iff_eventually_cobounded_mapsTo, use it to golf some proofs.