Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction_obj_obj

∀ (C : Type u_1) (D : Type u_2) [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.MonoidalCategory C]
  [inst_3 : CategoryTheory.MonoidalCategory.MonoidalRightAction C D] (x : C) (y : D),
  ((CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction C D).obj x).obj y =
    CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObj y x

Defined in: Mathlib.CategoryTheory.Monoidal.Action.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.MonoidalCategory.MonoidalRightAction

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObjstatement · cited by 146
CategoryTheory.MonoidalCategory.MonoidalRightActionstatement and proof · cited by 140
CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionstatement and proof · cited by 11

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