Theorems · Theorem · category theory
CategoryTheory.Equivalence.mapCommMon_counitIso
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {D : Type u₂} [inst_3 : CategoryTheory.Category.{v₂, u₂} D]
[inst_4 : CategoryTheory.MonoidalCategory D] [inst_5 : CategoryTheory.BraidedCategory D] (e : C ≌ D)
[inst_6 : e.functor.Braided] [inst_7 : e.inverse.Braided] [inst_8 : e.IsMonoidal],
e.mapCommMon.counitIso =
CategoryTheory.Functor.mapCommMonCompIso.symm ≪≫
CategoryTheory.Functor.mapCommMonNatIso e.counitIso ≪≫ CategoryTheory.Functor.mapCommMonIdIso- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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- 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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.Iso.symmstatement · cited by 993
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Equivalencestatement and proof · cited by 601
- CategoryTheory.Iso.transstatement · cited by 566
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