Theorems · Theorem · category theory
CategoryTheory.RingObjCat.Hom.mk.injEq
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {R₁ R₂ : CategoryTheory.RingObjCat C} (hom : R₁.X ⟶ R₂.X)
[isRingHom : CategoryTheory.IsRingHom hom] (hom_1 : R₁.X ⟶ R₂.X) (isRingHom_1 : CategoryTheory.IsRingHom hom_1),
({ hom := hom, isRingHom := isRingHom } = { hom := hom_1, isRingHom := isRingHom_1 }) = (hom = hom_1)- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
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Cites9
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.RingObjCatstatement and proof · cited by 23
- CategoryTheory.RingObjCat.Xstatement and proof · cited by 19
- CategoryTheory.IsRingHomstatement and proof · cited by 10
- CategoryTheory.RingObjCat.Homstatement · cited by 7
- CategoryTheory.RingObjCat.Hom.mk.injproof · cited by 1
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