Theorems · Theorem · category theory
CochainComplex.HomComplex.Cocycle.rightUnshift_coe
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{K L : CochainComplex C ℤ} {n' a : ℤ}
(γ : CochainComplex.HomComplex.Cocycle K ((CategoryTheory.shiftFunctor (CochainComplex C ℤ) a).obj L) n') (n : ℤ)
(hn : n' + a = n), ↑(γ.rightUnshift n hn) = (↑γ).rightUnshift n hn- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 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 and proof · cited by 19,642
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- AddSubgroupstatement · cited by 3,232
- CategoryTheory.shiftFunctorstatement and proof · 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.rightUnshiftstatement · cited by 18
- CochainComplex.HomComplex.Cocycle.rightUnshiftstatement and proof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.Cocycle.equivHomShift_compproof · cited by 1
- CochainComplex.HomComplex.Cocycle.equivHomShift_comp_shiftproof · cited by 1