Theorems · Theorem · category theory

CategoryTheory.Equivalence.mapAddMon_inverse

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory D] (e : C ≌ D)
  [inst_4 : e.functor.Monoidal] [inst_5 : e.inverse.Monoidal] [inst_6 : e.IsMonoidal],
  e.mapAddMon.inverse = e.inverse.mapAddMon

Defined in: Mathlib.CategoryTheory.Monoidal.Mon
Cited by: 0 results in Mathlib
Foundations: Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.Functor.Monoidal CategoryTheory.Functor.Monoidal CategoryTheory.Equivalence.IsMonoidal

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement · cited by 16,252
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.Equivalencestatement and proof · cited by 601
CategoryTheory.Functor.Monoidalstatement and proof · cited by 288
CategoryTheory.AddMonstatement · cited by 177
CategoryTheory.Equivalence.IsMonoidalstatement and proof · cited by 40
CategoryTheory.Functor.mapAddMonstatement · cited by 28
CategoryTheory.Equivalence.mapAddMonstatement and proof · cited by 4

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