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[Merged by Bors] - feat(order/galois_connection): formula for upper_bounds (l '' s) #8478

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[Merged by Bors] - feat(order/galois_connection): formula for upper_bounds (l '' s) #8478

wants to merge 3 commits into from

Commits on Jul 31, 2021

  1. feat(order/galois_connection): formula for upper_bounds (l '' s) 

    * upgrade `galois_connection.upper_bounds_l_image_subset` and
  `galois_connection.lower_bounds_u_image` to equalities;
* prove `bdd_above (l '' s) ↔ bdd_above s` and
  `bdd_below (u '' s) ↔ bdd_below s`;
* move `galois_connection.dual` to the top and use it in some proofs;
* use `order_iso.to_galois_connection` to transfer some of these
  results to `order_iso`s;
* rename `rel_iso.to_galois_insertion` to `order_iso.to_galois_insertion`.
    @urkud
    urkud committed Jul 31, 2021
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  2. Fix

    @urkud
    urkud committed Jul 31, 2021
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  3. Use to_dual/of_dual

    @urkud
    urkud committed Jul 31, 2021
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