Theorems · Theorem · category theory
CategoryTheory.Functor.CommShift.commShiftIso_zero
∀ {C : Type u_1} {D : Type u_2} {inst : CategoryTheory.Category.{v_1, u_1} C}
{inst_1 : CategoryTheory.Category.{v_2, u_2} D} (F : CategoryTheory.Functor C D) (A : Type u_6) {inst_2 : AddMonoid A}
{inst_3 : CategoryTheory.HasShift C A} {inst_4 : CategoryTheory.HasShift D A} [self : F.CommShift A],
CategoryTheory.Functor.commShiftIso F 0 = CategoryTheory.Functor.CommShift.isoZero F A- Defined in
- Mathlib.CategoryTheory.Shift.CommShift
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Functor.CommShiftstatement and proof · cited by 249
- CategoryTheory.Functor.CommShift.commShiftIsostatement · cited by 202
- CategoryTheory.Functor.CommShift.isoZerostatement · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.SmallShiftedHom.equiv_mk₀proof · cited by 6
- CategoryTheory.ShiftedHom.map_mk₀proof · cited by 5
- CategoryTheory.Functor.map_shiftFunctorCompIsoId_hom_appproof · cited by 4
- CategoryTheory.Functor.commShiftIso_zero'proof · cited by 1
- CategoryTheory.NatTrans.CommShiftCore.zeroproof · cited by 0