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[Merged by Bors] - feat(data/finset,order/conditionally_complete_lattice): lemmas about min'/max' #8782

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Commits on Aug 20, 2021

  1. feat(data/finset,order/conditionally_complete_lattice): lemmas about …

    …`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`.
    urkud committed Aug 20, 2021
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