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Theorems · Definition · category theory

CategoryTheory.Mod.regular

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

A monoid object as a 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.MonObj
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Around this declaration

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

CategoryTheory.Mod.regular_mod_smul · cited by 0Mod.regular_mod_smulCategoryTheory.Mod_.regular · cited by 0Mod_.regularCategoryTheory.Mod.regular_X · cited by 0Mod.regular_XCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonObj · cited by 199CategoryTheory.MonObjCategoryTheory.Mod · cited by 25CategoryTheory.ModMod.regularCITED BYCITES

Cites4

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Cited by3

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