Theorems · Theorem · category theory
CochainComplex.HomComplex.Cocycle.leftShift_coe
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{K L : CochainComplex C ℤ} {n : ℤ} (γ : CochainComplex.HomComplex.Cocycle K L n) (a n' : ℤ) (hn' : n + a = n'),
↑(γ.leftShift a n' hn') = (↑γ).leftShift a n' hn'- Cited by
- 3 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.Preadditivestatement and proof · cited by 3,309
- AddSubgroupstatement · cited by 3,232
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement · cited by 341
- CochainComplex.HomComplex.Cocyclestatement and proof · cited by 130
- CochainComplex.HomComplex.cocyclestatement · cited by 105
- CochainComplex.HomComplex.Cochain.leftShiftstatement · cited by 23
- CochainComplex.HomComplex.Cocycle.leftShiftstatement and proof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCocone.inr_v_fst_fproof · cited by 1
- CochainComplex.mappingCone.rotateHomotopyEquiv_comm₃proof · cited by 1
- CochainComplex.mappingCocone.id_Xproof · cited by 0