Theorems · Theorem · category theory
HomologicalComplex.singleObjXIsoOfEq.congr_simp
∀ {V : Type u} [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V]
[inst_2 : CategoryTheory.Limits.HasZeroObject V] {ι : Type u_1} [inst_3 : DecidableEq ι] (c : ComplexShape ι) (j : ι)
(A : V) (i : ι) (hi : i = j),
HomologicalComplex.singleObjXIsoOfEq c j A i hi = HomologicalComplex.singleObjXIsoOfEq c j A i hi- Defined in
- Mathlib.Algebra.Homology.Single
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 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
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplex.Xstatement · cited by 1,839
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- HomologicalComplex.singlestatement · cited by 110
- HomologicalComplex.singleObjXIsoOfEqstatement and proof · cited by 6
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