Theorems · Theorem · category theory
CategoryTheory.IsKernelPair.isIso_of_mono
∀ {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.Mono f], CategoryTheory.IsIso a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.Iso.invproof · cited by 6,514
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.Limits.WalkingCospan.leftproof · cited by 190
- CategoryTheory.Limits.IsLimit.conePointUniqueUpToIsoproof · cited by 57
- CategoryTheory.IsPullback.isLimitproof · cited by 47
- CategoryTheory.Limits.IsLimit.conePointUniqueUpToIso_inv_compproof · cited by 37
- CategoryTheory.IsKernelPairstatement and proof · cited by 24
- CategoryTheory.IsKernelPair.id_of_monoproof · cited by 7
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