Theorems · Theorem · category theory
CategoryTheory.IsKernelPair.mono_of_isIso_fst
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {R X Y : C} {f : X ⟶ Y} {a b : R ⟶ X},
CategoryTheory.IsKernelPair f a b → ∀ [CategoryTheory.IsIso a], CategoryTheory.Mono f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Monostatement · cited by 893
- CategoryTheory.invproof · cited by 467
- CategoryTheory.Limits.PullbackCone.fstproof · cited by 118
- CategoryTheory.Limits.PullbackCone.sndproof · cited by 113
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.IsPushout.IsVanKampen.mono_of_mono_leftproof · cited by 1
- CategoryTheory.IsPushout.IsVanKampen.mono_of_mono_rightproof · cited by 1