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[Merged by Bors] - feat(CategoryTheory/CommSq): add basic CommSq lemmas #12033

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@callesonne callesonne commented Apr 9, 2024

Add basic lemmas about CommSq:

  • Compositions of commutative squares are commutative
  • If the horizontal arrows of a commutative square are isomorphisms, then flipping these arrows also yields a commutative square.

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@github-actions github-actions bot added new-contributor This PR was made by a contributor with fewer than 5 merged PRs. Welcome to the community! and removed awaiting-CI labels Apr 9, 2024
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I'm also open to changing the names of these. I was trying to copy vert_inv as this was already there, but another possibility is to do v_inv h_inv v_comp and h_comp.

@callesonne callesonne added awaiting-review The author would like community review of the PR t-category-theory Category theory labels Apr 14, 2024
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Thanks!

bors merge

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review The author would like community review of the PR labels Apr 14, 2024
mathlib-bors bot pushed a commit that referenced this pull request Apr 14, 2024
Add basic lemmas about CommSq:
-  Compositions of commutative squares are commutative
-  If the horizontal arrows of a commutative square are isomorphisms, then flipping these arrows also yields a commutative square.
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mathlib-bors bot commented Apr 14, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory/CommSq): add basic CommSq lemmas [Merged by Bors] - feat(CategoryTheory/CommSq): add basic CommSq lemmas Apr 14, 2024
@mathlib-bors mathlib-bors bot closed this Apr 14, 2024
@mathlib-bors mathlib-bors bot deleted the callesonne_commsq branch April 14, 2024 09:53
Louddy pushed a commit that referenced this pull request Apr 15, 2024
Add basic lemmas about CommSq:
-  Compositions of commutative squares are commutative
-  If the horizontal arrows of a commutative square are isomorphisms, then flipping these arrows also yields a commutative square.
atarnoam pushed a commit that referenced this pull request Apr 16, 2024
Add basic lemmas about CommSq:
-  Compositions of commutative squares are commutative
-  If the horizontal arrows of a commutative square are isomorphisms, then flipping these arrows also yields a commutative square.
uniwuni pushed a commit that referenced this pull request Apr 19, 2024
Add basic lemmas about CommSq:
-  Compositions of commutative squares are commutative
-  If the horizontal arrows of a commutative square are isomorphisms, then flipping these arrows also yields a commutative square.
Jun2M pushed a commit that referenced this pull request Apr 24, 2024
Add basic lemmas about CommSq:
-  Compositions of commutative squares are commutative
-  If the horizontal arrows of a commutative square are isomorphisms, then flipping these arrows also yields a commutative square.
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3 participants