Theorems · Theorem · category theory
CategoryTheory.ForgetEnrichment.equiv_unitIso
∀ (V : Type u') [inst : CategoryTheory.Category.{v', u'} V] [inst_1 : CategoryTheory.MonoidalCategory V] {D : Type u''}
[inst_2 : CategoryTheory.Category.{v'', u''} D] [inst_3 : CategoryTheory.EnrichedOrdinaryCategory V D],
(CategoryTheory.ForgetEnrichment.equiv V).unitIso =
CategoryTheory.NatIso.ofComponents
(fun X => CategoryTheory.Iso.refl ((CategoryTheory.Functor.id (CategoryTheory.ForgetEnrichment V D)).obj X)) ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- 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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Iso.reflstatement · cited by 727
- CategoryTheory.Equivalence.unitIsostatement and proof · cited by 536
- CategoryTheory.NatIso.ofComponentsstatement · cited by 178
- CategoryTheory.EnrichedOrdinaryCategorystatement and proof · cited by 109
- CategoryTheory.ForgetEnrichmentstatement · cited by 50
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