Theorems · Definition · category theory
CategoryTheory.RegularMono.ofIso
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → {X Y : C} → (e : X ≅ Y) → CategoryTheory.RegularMono e.homEvery isomorphism is a regular monomorphism.
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- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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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.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.Limits.Fork.ιproof · cited by 162
- CategoryTheory.Limits.Forkproof · cited by 85
- CategoryTheory.Limits.Fork.ofιproof · cited by 66
- CategoryTheory.RegularMonostatement · cited by 14
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