Theorems · Theorem · category theory
MonCat.inv_hom_apply
∀ {M N : MonCat} (e : M ≅ N) (x : ↑M),
(CategoryTheory.ConcreteCategory.hom e.inv) ((CategoryTheory.ConcreteCategory.hom e.hom) x) = x- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- MonoidHomstatement · cited by 3,629
- MonCatstatement and proof · cited by 127
- MonCat.carrierstatement and proof · cited by 107
- CategoryTheory.Iso.hom_inv_id_applyproof · cited by 50
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.