Theorems · Theorem · category theory
CochainComplex.HomComplex.Cocycle.ofHom_coe
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G : CochainComplex C ℤ} (φ : F ⟶ G),
↑(CochainComplex.HomComplex.Cocycle.ofHom φ) = CochainComplex.HomComplex.Cochain.ofHom φ- Cited by
- 19 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- AddSubgroupstatement · cited by 3,232
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement · cited by 341
- CochainComplex.HomComplex.Cochain.ofHomstatement · cited by 121
- CochainComplex.HomComplex.cocyclestatement · cited by 105
- CochainComplex.HomComplex.Cocycle.ofHomstatement and proof · cited by 23
Cited by19
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCone.inr_f_desc_fproof · cited by 8
- CochainComplex.mappingCone.inl_v_desc_fproof · cited by 5
- CochainComplex.mappingCocone.lift_f_fst_fproof · cited by 2
- CochainComplex.HomComplex.δ_ofHom_compproof · cited by 1
- CochainComplex.HomComplex.Cocycle.ofHom_homOf_eq_selfproof · cited by 1
- CochainComplex.mappingCone.lift_desc_fproof · cited by 1
- CochainComplex.mappingCocone.inr_v_fst_fproof · cited by 1
- CochainComplex.mappingCocone.inr_v_snd_vproof · cited by 1
- CochainComplex.HomComplex.Cocycle.equivHomShift_compproof · cited by 1
- CochainComplex.HomComplex.Cocycle.equivHomShift_comp_shiftproof · cited by 1
- CochainComplex.mappingCocone.lift_f_snd_vproof · cited by 1
- CochainComplex.mappingCone.ofHom_descproof · cited by 1