Theorems · Theorem · category theory

CategoryTheory.Adjunction.isEquivalence_left_of_isEquivalence_right

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {L : CategoryTheory.Functor C D} {R : CategoryTheory.Functor D C} (h : L ⊣ R) [R.IsEquivalence], L.IsEquivalence

Defined in: Mathlib.CategoryTheory.Adjunction.FullyFaithful
Cited by: 0 results in Mathlib
Foundations: Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.IsEquivalence

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Adjunctionstatement and proof · cited by 524
CategoryTheory.Functor.IsEquivalencestatement and proof · cited by 111
CategoryTheory.Adjunction.toEquivalenceproof · cited by 11

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