Theorems · Theorem · category theory
CategoryTheory.AddMon.Hom.mk.inj
∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C}
{M N : CategoryTheory.AddMon C} {hom : M.X ⟶ N.X} {isAddMonHom_hom : CategoryTheory.IsAddMonHom hom}
{hom_1 : M.X ⟶ N.X} {isAddMonHom_hom_1 : CategoryTheory.IsAddMonHom hom_1},
{ hom := hom, isAddMonHom_hom := isAddMonHom_hom } = { hom := hom_1, isAddMonHom_hom := isAddMonHom_hom_1 } →
hom = hom_1- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.AddMonstatement and proof · cited by 177
- CategoryTheory.AddMon.Xstatement and proof · cited by 126
- CategoryTheory.IsAddMonHomstatement and proof · cited by 49
- CategoryTheory.AddMon.Homstatement · cited by 8
- CategoryTheory.AddMon.Hom.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMon.Hom.mk.injEqproof · cited by 0