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Theorems · Definition · category theory

CategoryTheory.Mod_.regular

Deprecated since 2026-04-21Use CategoryTheory.Mod.regular instead.

{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

Alias of CategoryTheory.Mod.regular. A monoid object as a module over itself.

Defined in
Mathlib.CategoryTheory.Monoidal.Mod
Cited by
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Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonObj

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