Theorems · Theorem · category theory
CategoryTheory.IsMonHom.monoidHom_id
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{M X : C} [inst_2 : CategoryTheory.MonObj M],
CategoryTheory.IsMonHom.monoidHom (CategoryTheory.CategoryStruct.id M) X = MonoidHom.id (X ⟶ M)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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.CategoryStruct.idstatement and proof · cited by 6,235
- MonoidHomstatement · cited by 3,629
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- MonoidHom.idstatement · cited by 323
- CategoryTheory.MonObjstatement and proof · cited by 199
- MonoidHom.extproof · cited by 109
- CategoryTheory.Hom.monoidstatement · cited by 52
- MonoidHom.id_applyproof · cited by 33
- CategoryTheory.IsMonHom.monoidHomstatement · cited by 10
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