Theorems · Theorem · category theory
HomologicalComplex.extendSingleIso.congr_simp
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} {C : Type u_3}
[inst : CategoryTheory.Category.{v_1, u_3} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : DecidableEq ι] (e : c.Embedding c') (X : C)
[inst_4 : DecidableEq ι'] (i : ι) (i' : ι') (h : e.f i = i'),
HomologicalComplex.extendSingleIso e X i i' h = HomologicalComplex.extendSingleIso e X i i' h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- ComplexShape.Embeddingstatement and proof · cited by 337
- ComplexShape.Embedding.fstatement and proof · cited by 251
- HomologicalComplex.extendstatement · cited by 115
- HomologicalComplex.singlestatement · cited by 110
- HomologicalComplex.extendSingleIsostatement and proof · cited by 7
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