Theorems · Theorem · category theory
ChainComplex.prev
∀ (α : Type u_2) [inst : AddRightCancelSemigroup α] [inst_1 : One α] (i : α), (ComplexShape.down α).prev i = i + 1
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddRightCancelSemigroupOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShape.downstatement and proof · cited by 605
- ComplexShape.prevstatement · cited by 223
- AddRightCancelSemigroupstatement and proof · cited by 41
- ComplexShape.prev_eq'proof · cited by 22
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.ProjectiveResolution.exact_succproof · cited by 2
- ChainComplex.quasiIsoAt₀_iffproof · cited by 1
- Rep.FiniteCyclicGroup.resolution_quasiIsoproof · cited by 0
- ChainComplex.isIso_descOpcycles_iffproof · cited by 0
- CategoryTheory.ProjectiveResolution.ofComplex_exactAt_succproof · cited by 0
- Homotopy.prevD_chainComplexproof · cited by 0