Theorems · Theorem · category theory
CategoryTheory.IsKernelPair.of_isIso_of_mono
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {R X Y : C} {f : X ⟶ Y} {a : R ⟶ X} [CategoryTheory.IsIso a]
[CategoryTheory.Mono f], CategoryTheory.IsKernelPair f a a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.IsPullbackproof · cited by 320
- CategoryTheory.IsKernelPairstatement · cited by 24
- CategoryTheory.IsPullback.paste_vertproof · cited by 19
- CategoryTheory.IsPullback.of_horiz_isIsoproof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.