Theorems · Theorem · category theory

CategoryTheory.GradedObject.Monoidal.associator.congr_simp

∀ {I : Type u} [inst : AddMonoid I] {C : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} C]
  [inst_2 : CategoryTheory.MonoidalCategory C] (X₁ X₂ X₃ : CategoryTheory.GradedObject I C) [inst_3 : X₁.HasTensor X₂]
  [inst_4 : (CategoryTheory.GradedObject.Monoidal.tensorObj X₁ X₂).HasTensor X₃] [inst_5 : X₂.HasTensor X₃]
  [inst_6 : X₁.HasTensor (CategoryTheory.GradedObject.Monoidal.tensorObj X₂ X₃)]
  [inst_7 : X₁.HasGoodTensor₁₂Tensor X₂ X₃] [inst_8 : X₁.HasGoodTensorTensor₂₃ X₂ X₃],
  CategoryTheory.GradedObject.Monoidal.associator X₁ X₂ X₃ = CategoryTheory.GradedObject.Monoidal.associator X₁ X₂ X₃

Defined in

Mathlib.CategoryTheory.GradedObject.Monoidal

Cited by

0 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.GradedObject.HasTensorCategoryTheory.GradedObject.HasTensorCategoryTheory.GradedObject.HasTensorCategoryTheory.GradedObject.HasTensorCategoryTheory.GradedObject.HasGoodTensor₁₂TensorCategoryTheory.GradedObject.HasGoodTensorTensor₂₃