Theorems · Definition · category theory
CategoryTheory.ShiftedHom
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
{M : Type u_4} → [inst_1 : AddMonoid M] → [CategoryTheory.HasShift C M] → C → C → M → Type v_1In a category C equipped with a shift by an additive monoid,
this is the type of morphisms X ⟶ (Y⟦m⟧) for m : M.
- Defined in
- Mathlib.CategoryTheory.Shift.ShiftedHom
- Cited by
- 88 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.shiftFunctorproof · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
Cited by101
Results whose statement or proof uses this declaration.
- CategoryTheory.ShiftedHom.compstatement and proof · cited by 54
- CategoryTheory.ShiftedHom.mk₀statement · cited by 53
- CategoryTheory.Abelian.Ext.homstatement · cited by 42
- CategoryTheory.ShiftedHom.mapstatement and proof · cited by 41
- CategoryTheory.ShiftedHom.comp.congr_simpstatement and proof · cited by 37
- CategoryTheory.Abelian.Ext.extstatement · cited by 31
- CategoryTheory.Abelian.Ext.comp_homstatement · cited by 27
- CategoryTheory.Localization.SmallShiftedHom.equivstatement · cited by 22
- CategoryTheory.Abelian.Ext.mk₀_homstatement · cited by 20
- CategoryTheory.ShiftedHom.mk₀.congr_simpstatement · cited by 17
- CategoryTheory.ShiftedHom.mk₀_compstatement and proof · cited by 13
- CategoryTheory.ShiftedHom.comp_mk₀statement and proof · cited by 11