Theorems · Theorem · category theory
CategoryTheory.Grp.forget_map
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{X Y : CategoryTheory.Grp C} (f : X ⟶ Y), (CategoryTheory.Grp.forget C).map f = f.hom.hom- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Hom.homstatement · cited by 200
- CategoryTheory.Grpstatement and proof · cited by 144
- CategoryTheory.Grp.toMonstatement · cited by 80
- CategoryTheory.Mon.forgetstatement · cited by 33
- CategoryTheory.Grp.forget₂Monstatement · cited by 32
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