Theorems · Theorem · category theory
CategoryTheory.AddMon.Hom.mk.congr_simp
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
{M N : CategoryTheory.AddMon C} (hom hom_1 : M.X ⟶ N.X) (e_hom : hom = hom_1)
[isAddMonHom_hom : CategoryTheory.IsAddMonHom hom],
{ hom := hom, isAddMonHom_hom := isAddMonHom_hom } = { hom := hom_1, isAddMonHom_hom := ⋯ }- Cited by
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- Foundations
- Depth 6 from the axioms · uses no axioms
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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
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