Theorems · Theorem · category theory
CategoryTheory.DifferentialObject.shiftFunctorAdd_hom_app_f
∀ {S : Type u_1} [inst : AddCommGroupWithOne S] (C : Type u) [inst_1 : CategoryTheory.Category.{v, u} C]
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : CategoryTheory.HasShift C S] (m n : S)
(X : CategoryTheory.DifferentialObject S C),
((CategoryTheory.DifferentialObject.shiftFunctorAdd C m n).hom.app X).f =
(CategoryTheory.shiftFunctorAdd C m n).hom.app X.obj- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.DifferentialObjectstatement and proof · cited by 61
- AddCommGroupWithOnestatement and proof · cited by 61
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