Theorems · Definition · category theory
CategoryTheory.Localization.SmallShiftedHom.mk
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
(W : CategoryTheory.MorphismProperty C) →
{M : Type w'} →
[inst_1 : AddMonoid M] →
[inst_2 : CategoryTheory.HasShift C M] →
{X Y : C} →
{m : M} →
[inst_3 : CategoryTheory.Localization.HasSmallLocalizedShiftedHom W M X Y] →
CategoryTheory.ShiftedHom X Y m → CategoryTheory.Localization.SmallShiftedHom W X Y mConstructor for SmallShiftedHom.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.ShiftedHomstatement and proof · cited by 88
- CategoryTheory.Localization.HasSmallLocalizedShiftedHomstatement and proof · cited by 41
- CategoryTheory.Localization.SmallShiftedHomstatement · cited by 36
- CategoryTheory.Localization.SmallHom.mkproof · cited by 12
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.SmallShiftedHom.mk₀proof · cited by 10
- CochainComplex.HomComplex.CohomologyClass.toSmallShiftedHomproof · cited by 10
- CategoryTheory.Localization.SmallShiftedHom.equiv_mkstatement and proof · cited by 2
- CategoryTheory.LocalizerMorphism.smallShiftedHomMap_mk₀proof · cited by 1
- CategoryTheory.LocalizerMorphism.smallShiftedHomMap_mkstatement and proof · cited by 1
- CochainComplex.HomComplex.CohomologyClass.toSmallShiftedHom_mkstatement · cited by 0