Theorems · Theorem · category theory

CategoryTheory.Mon.Hom.hom_mul

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {M N : CategoryTheory.Mon C} [inst_3 : CategoryTheory.IsCommMonObj N.X]
  (f g : M ⟶ N), (f * g).hom = f.hom * g.hom

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.Mon
Cited by: 0 results in Mathlib
Foundations: Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.BraidedCategory CategoryTheory.IsCommMonObj

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.Monstatement and proof · cited by 465
CategoryTheory.Mon.Xstatement and proof · cited by 329
CategoryTheory.Mon.Hom.homstatement · cited by 200
CategoryTheory.Hom.monoidstatement · cited by 52
CategoryTheory.IsCommMonObjstatement and proof · cited by 37

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