Theorems · Definition · category theory
CategoryTheory.Mod_.comp
Deprecated since 2026-04-21Use CategoryTheory.Mod.comp instead.
{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.MonObj A] → {M N O : CategoryTheory.Mod D A} → M.Hom N → N.Hom O → M.Hom OAlias of CategoryTheory.Mod.comp.
Composition of module object morphisms.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
- CategoryTheory.MonoidalCategory.MonoidalLeftActionstatement · cited by 215
- CategoryTheory.MonObjstatement · cited by 199
- CategoryTheory.Modstatement · cited by 25
- CategoryTheory.Mod.Homstatement · cited by 6
- CategoryTheory.Mod.compproof · cited by 1
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