Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.v.congr_simp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G : CochainComplex C ℤ} {n : ℤ} (γ γ_1 : CochainComplex.HomComplex.Cochain F G n),
γ = γ_1 → ∀ (p q : ℤ) (hpq : p + n = q), γ.v p q hpq = γ_1.v p q hpq- Cited by
- 38 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 32,603
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xstatement · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement and proof · cited by 341
- CochainComplex.HomComplex.Cochain.vstatement and proof · cited by 213
Cited by38
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCone.inr_f_fst_vproof · cited by 9
- CochainComplex.mappingCone.inr_f_desc_fproof · cited by 8
- CochainComplex.mappingCone.inl_v_fst_vproof · cited by 7
- CochainComplex.mappingCone.inr_f_triangle_mor₃_fproof · cited by 6
- CochainComplex.mappingCone.inl_v_desc_fproof · cited by 5
- CochainComplex.mappingCone.inl_v_triangle_mor₃_fproof · cited by 5
- CochainComplex.mappingCone.lift_f_snd_vproof · cited by 3
- CochainComplex.mappingCone.lift_f_fst_vproof · cited by 2
- CochainComplex.mappingCocone.lift_f_fst_fproof · cited by 2
- CochainComplex.mappingConeCompHomotopyEquiv_comm₂proof · cited by 2
- CochainComplex.MappingConeCompHomotopyEquiv.hom_inv_idproof · cited by 2
- CochainComplex.HomComplex.Cocycle.ofHom_homOf_eq_selfproof · cited by 1