Theorems · Theorem · category theory

CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObj_obj

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_2 : CategoryTheory.MonoidalCategory D] (A : CategoryTheory.Functor C D) [inst_3 : CategoryTheory.MonObj A]
  (X : C),
  (CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObj A).obj X =
    CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObjObj A X

Defined in: Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory
Cited by: 0 results in Mathlib
Foundations: Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.MonObj

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.Monstatement · cited by 465
CategoryTheory.MonObjstatement and proof · cited by 199
CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObjObjstatement · cited by 5
CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObjstatement and proof · cited by 4

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