Theorems · Theorem · category theory
CategoryTheory.equivToOverUnit_counitIso
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C],
(CategoryTheory.equivToOverUnit C).counitIso =
CategoryTheory.NatIso.ofComponents
(fun X =>
CategoryTheory.Iso.refl
(((CategoryTheory.toOverUnit C).comp
(CategoryTheory.Over.forget (CategoryTheory.MonoidalCategoryStruct.tensorUnit C))).obj
X))
⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 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.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Iso.reflstatement · cited by 727
- CategoryTheory.Equivalence.counitIsostatement and proof · cited by 480
- CategoryTheory.NatIso.ofComponentsstatement · cited by 178
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