Theorems · Theorem · category theory
MagmaCat.inv_hom_apply
∀ {M N : MagmaCat} (e : M ≅ N) (x : ↑M),
(CategoryTheory.ConcreteCategory.hom e.inv) ((CategoryTheory.ConcreteCategory.hom e.hom) x) = x- Defined in
- Mathlib.Algebra.Category.Semigrp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- CategoryTheory.Isostatement and proof · cited by 3,963
- MulHomstatement · cited by 299
- CategoryTheory.Iso.hom_inv_id_applyproof · cited by 50
- MagmaCatstatement and proof · cited by 23
- MagmaCat.carrierstatement and proof · cited by 19
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