Theorems · Theorem · category theory

CategoryTheory.zeroMul_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {A : C}
  [inst_2 : CategoryTheory.Closed A] {I : C} (t : CategoryTheory.Limits.IsInitial I),
  (CategoryTheory.zeroMul t).inv = t.to (CategoryTheory.MonoidalCategoryStruct.tensorObj A I)

Defined in: Mathlib.CategoryTheory.Monoidal.Closed.Cartesian
Cited by: 0 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.Closed

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Iso.invstatement and proof · cited by 6,514
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.Limits.IsInitialstatement and proof · cited by 158
CategoryTheory.Limits.IsInitial.tostatement · cited by 119
CategoryTheory.Closedstatement and proof · cited by 90
CategoryTheory.zeroMulstatement and proof · cited by 12

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