Theorems · Theorem · category theory

CategoryTheory.Equivalence.commShift_of_functor

∀ {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] (E : C ≌ D) (A : Type u_3) [inst_2 : AddGroup A]
  [inst_3 : CategoryTheory.HasShift C A] [inst_4 : CategoryTheory.HasShift D A] [inst_5 : E.functor.CommShift A],
  E.CommShift A

Defined in: Mathlib.CategoryTheory.Shift.Adjunction
Cited by: 1 results in Mathlib
Foundations: Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category AddGroup CategoryTheory.HasShift CategoryTheory.HasShift CategoryTheory.Functor.CommShift

Mathlib docs Source Loogle LeanSearch

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
AddGroupstatement and proof · cited by 4,410
CategoryTheory.HasShiftstatement and proof · cited by 1,527
CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
CategoryTheory.Equivalence.inverseproof · cited by 1,130
CategoryTheory.Equivalencestatement and proof · cited by 601
CategoryTheory.Functor.CommShiftstatement and proof · cited by 249
CategoryTheory.Equivalence.CommShiftstatement · cited by 6
CategoryTheory.Equivalence.CommShift.mk'proof · cited by 2
CategoryTheory.Equivalence.commShiftInversestatement and proof · cited by 1

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.Equivalence.commShift_of_inverseproof · cited by 0