Theorems · Theorem · category theory
CategoryTheory.StructuredArrow.preEquivalence_inverse
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] (F : CategoryTheory.Functor C D)
{G : CategoryTheory.Functor D E} {e : E} (f : CategoryTheory.StructuredArrow e G),
(CategoryTheory.StructuredArrow.preEquivalence F f).inverse = CategoryTheory.StructuredArrow.preEquivalenceInverse F f- Cited by
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- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.StructuredArrowstatement and proof · cited by 370
- CategoryTheory.StructuredArrow.rightstatement · cited by 213
- CategoryTheory.StructuredArrow.prestatement · cited by 32
- CategoryTheory.StructuredArrow.preEquivalenceInversestatement · cited by 9
- CategoryTheory.StructuredArrow.preEquivalencestatement and proof · cited by 4
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