Theorems · Theorem · category theory
HomologicalComplex.natTransOpCyclesToCycles_app
∀ (C : Type u_1) {ι : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] (c : ComplexShape ι) (i j : ι)
[inst_2 : CategoryTheory.CategoryWithHomology C] (K : HomologicalComplex C c),
(HomologicalComplex.natTransOpCyclesToCycles C c i j).app K = K.opcyclesToCycles i j- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- HomologicalComplex.cyclesstatement · cited by 164
- HomologicalComplex.opcyclesstatement · cited by 153
- CategoryTheory.CategoryWithHomologystatement and proof · cited by 116
- HomologicalComplex.opcyclesToCyclesstatement · cited by 18
- HomologicalComplex.opcyclesFunctorstatement · cited by 12
- HomologicalComplex.cyclesFunctorstatement · cited by 11
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