Theorems · Theorem · category theory

CategoryTheory.ShortComplex.functorEquivalence_unitIso

∀ (J : Type u_1) (C : Type u_2) [inst : CategoryTheory.Category.{v_1, u_1} J]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} C] [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C],
  (CategoryTheory.ShortComplex.functorEquivalence J C).unitIso =
    CategoryTheory.ShortComplex.FunctorEquivalence.unitIso J C

Defined in: Mathlib.Algebra.Homology.ShortComplex.FunctorEquivalence
Cited by: 0 results in Mathlib
Foundations: Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms

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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
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Functor.idstatement · cited by 3,333
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
CategoryTheory.ShortComplexstatement · cited by 1,850
CategoryTheory.Equivalence.unitIsostatement and proof · cited by 536
CategoryTheory.ShortComplex.FunctorEquivalence.inversestatement · cited by 23
CategoryTheory.ShortComplex.FunctorEquivalence.functorstatement · cited by 18
CategoryTheory.ShortComplex.FunctorEquivalence.unitIsostatement · cited by 7
CategoryTheory.ShortComplex.functorEquivalencestatement and proof · cited by 4

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