Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.inv_tensor
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {W X Y Z : C}
(f : W ⟶ X) [inst_2 : CategoryTheory.IsIso f] (g : Y ⟶ Z) [inst_3 : CategoryTheory.IsIso g],
CategoryTheory.inv (CategoryTheory.MonoidalCategoryStruct.tensorHom f g) =
CategoryTheory.MonoidalCategoryStruct.tensorHom (CategoryTheory.inv f) (CategoryTheory.inv g)- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftproof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement and proof · cited by 587
- CategoryTheory.invstatement and proof · cited by 467
- CategoryTheory.MonoidalCategory.tensorHom_defproof · cited by 58
- CategoryTheory.MonoidalCategory.whisker_exchangeproof · cited by 36
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