Theorems · Theorem · category theory
CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono_H
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{S₁ S₂ : CategoryTheory.ShortComplex C} (φ : S₁ ⟶ S₂) (h : S₁.RightHomologyData) [inst_2 : CategoryTheory.Epi φ.τ₁]
[inst_3 : CategoryTheory.IsIso φ.τ₂] [inst_4 : CategoryTheory.Mono φ.τ₃],
(CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono φ h).H = h.H- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.ShortComplex.X₂statement · cited by 1,115
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.ShortComplex.X₁statement · cited by 889
- CategoryTheory.ShortComplex.X₃statement · cited by 876
- CategoryTheory.Epistatement and proof · cited by 688
- CategoryTheory.ShortComplex.Hom.τ₂statement and proof · cited by 243
- CategoryTheory.ShortComplex.RightHomologyDatastatement and proof · cited by 211
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