Theorems · Theorem · category theory
CategoryTheory.AddMod.forget_map
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
[inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D]
(A : C) [inst_4 : CategoryTheory.AddMonObj A] {X Y : CategoryTheory.AddMod D A} (f : X ⟶ Y),
(CategoryTheory.AddMod.forget A).map f = f.hom- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
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Cites10
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.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategory.MonoidalLeftActionstatement and proof · cited by 215
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- CategoryTheory.AddModstatement and proof · cited by 21
- CategoryTheory.AddMod.Xstatement · cited by 19
- CategoryTheory.AddMod.Hom.homstatement · cited by 12
- CategoryTheory.AddMod.forgetstatement and proof · cited by 2
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