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Theorems · Definition · category theory

CategoryTheory.AddMod.regular

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      (A : C) → [inst_2 : CategoryTheory.AddMonObj A] → CategoryTheory.AddMod C A

An additive monoid object as an additive module over itself.

Defined in
Mathlib.CategoryTheory.Monoidal.Mod
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.AddMonObj
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.AddMod.regular_addMod_vadd · cited by 0AddMod.regular_addMod_vaddCategoryTheory.AddMod.regular_X · cited by 0AddMod.regular_XCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.AddMonObj · cited by 158CategoryTheory.AddMonObjCategoryTheory.AddMod · cited by 21CategoryTheory.AddModAddMod.regularCITED BYCITES

Cites4

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Cited by2

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