UnionFind monad#195
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Please remove the file |
| Require Import preamble. | ||
| From HB Require Import structures. | ||
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Owner
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Please don't add blank lines.
| End join_laws. | ||
| End JoinLaws. | ||
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| HB.mixin Record isMonad (F : UU0 -> UU0) of Functor F := { |
Owner
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There is already a factory with the same name.
t6s
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Jun 26, 2026
| #[short(type=functor)] | ||
| HB.structure Definition Functor := {F of isFunctor F}. | ||
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| (*set u := union f x y. | ||
| rewrite find_equation; symmetry; rewrite find_equation. | ||
| case: (ltngtP (find f x) (find f y)) => xy. | ||
| - have Hx : is_root u (find f x) by exact/is_root_unionL/ltnW. | ||
| rewrite Hx /= /union' xy eqxx (ltn_eqF xy). | ||
| exact/find_root. | ||
| - have Hy : is_root u (find f y) by exact/is_root_unionR/ltnW. | ||
| rewrite Hy /= /union' xy ltnNge (ltnW xy) /= eqxx (ltn_eqF xy). | ||
| exact/esym/find_root. | ||
| - by rewrite /= /union' xy ltnn find_is_root.*) |
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Is this comment left intentionally?
Collaborator
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No need to comment, all this is wip.
Yes, it is intentional to compare different proof styles, but it will certainly not be in the final PR.
…ne new that is needed), I also added the changes of the PR preorder and adapted my code accordingly
…ne new that is needed), I also added the changes of the PR preorder and adapted my code accordingly
added 3 commits
July 10, 2026 14:12
… wip in example_union
…el of UnionFail to be FailR0
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Interface for UnionFind as a monad and a draft of the model.