Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.ofHom_injective
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G : CochainComplex C ℤ} {f₁ f₂ : F ⟶ G},
CochainComplex.HomComplex.Cochain.ofHom f₁ = CochainComplex.HomComplex.Cochain.ofHom f₂ → f₁ = f₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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.Preadditivestatement and proof · cited by 3,309
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement · cited by 341
- CochainComplex.HomComplex.Cochain.ofHomstatement and proof · cited by 121
- AddEquiv.injectiveproof · cited by 58
- CochainComplex.HomComplex.Cocycle.extproof · cited by 19
- CochainComplex.HomComplex.Cocycle.equivHomproof · cited by 4
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