Theorems · Theorem · category theory

CategoryTheory.Idempotents.DoldKan.equivalence_inverse

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.IsIdempotentComplete C] [inst_3 : CategoryTheory.Limits.HasFiniteCoproducts C],
  CategoryTheory.Idempotents.DoldKan.equivalence.inverse = CategoryTheory.Idempotents.DoldKan.Γ

Defined in: Mathlib.AlgebraicTopology.DoldKan.EquivalencePseudoabelian
Cited by: 0 results in Mathlib
Foundations: Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive CategoryTheory.IsIdempotentComplete CategoryTheory.Limits.HasFiniteCoproducts

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites13

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 · cited by 16,252
Oppositestatement · cited by 8,081
CategoryTheory.Preadditivestatement and proof · cited by 3,309
SimplexCategorystatement · cited by 2,204
CategoryTheory.Equivalence.inversestatement · cited by 1,130
ComplexShape.downstatement · cited by 605
CategoryTheory.SimplicialObjectstatement · cited by 548
ChainComplexstatement · cited by 350
CategoryTheory.Limits.HasFiniteCoproductsstatement and proof · cited by 110
CategoryTheory.IsIdempotentCompletestatement and proof · cited by 29
CategoryTheory.Idempotents.DoldKan.Γstatement · cited by 8

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.