[Merged by Bors] - feat(data/finset,order/conditionally_complete_lattice): lemmas about min'/max'
#8782
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…`min'/max'` * add `finset.nonempty.to_set`; * add lemmas `finset.max'_lt_iff`, `finset.lt_min'_iff`, `finset.max'_eq_sup'`, `finset.min'_eq_inf'`; * rewrite `finset.induction_on_max` without using `finset.card`, move one step to `finset.lt_max'_of_mem_erase_max'`; * add lemmas relating `Sup`/`Inf` of a nonempty finite set in a conditionally complete lattice to `finset.sup'`/`finset.inf'`/`finset.max'`/`finset.min'`; * a few more lemmas about `Sup`/`Inf` of a nonempty finite set in a conditionally complete lattice / linear order; * golf the proof of `filter.high_scores`.
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…`min'/max'` (#8782) ## `data/finset/*` * add `finset.nonempty.to_set`; * add lemmas `finset.max'_lt_iff`, `finset.lt_min'_iff`, `finset.max'_eq_sup'`, `finset.min'_eq_inf'`; * rewrite `finset.induction_on_max` without using `finset.card`, move one step to `finset.lt_max'_of_mem_erase_max'`; ## `order/conditionally_complete_lattice` * add lemmas relating `Sup`/`Inf` of a nonempty finite set in a conditionally complete lattice to `finset.sup'`/`finset.inf'`/`finset.max'`/`finset.min'`; * a few more lemmas about `Sup`/`Inf` of a nonempty finite set in a conditionally complete lattice / linear order; ## `order/filter/at_top_bot` * golf the proof of `filter.high_scores`.
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data/finset/*finset.nonempty.to_set;finset.max'_lt_iff,finset.lt_min'_iff,finset.max'_eq_sup',finset.min'_eq_inf';finset.induction_on_maxwithout usingfinset.card,move one step to
finset.lt_max'_of_mem_erase_max';order/conditionally_complete_latticeSup/Infof a nonempty finite set in aconditionally complete lattice to
finset.sup'/finset.inf'/finset.max'/finset.min';Sup/Infof a nonempty finite setin a conditionally complete lattice / linear order;
order/filter/at_top_botfilter.high_scores.