Theorems · Definition · category theory
CategoryTheory.CommRingObjCat.Hom.mk.noConfusion
{C : Type u} →
{inst : CategoryTheory.Category.{v, u} C} →
{inst_1 : CategoryTheory.CartesianMonoidalCategory C} →
{inst_2 : CategoryTheory.BraidedCategory C} →
{R₁ R₂ : CategoryTheory.CommRingObjCat C} →
{P : Sort u_1} →
{hom : R₁.X ⟶ R₂.X} →
{isRingHom : CategoryTheory.IsRingHom hom} →
{hom' : R₁.X ⟶ R₂.X} →
{isRingHom' : CategoryTheory.IsRingHom hom'} →
{ hom := hom, isRingHom := isRingHom } = { hom := hom', isRingHom := isRingHom' } →
(hom ≍ hom' → P) → P- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- 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.
Cites9
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.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.CommRingObjCatstatement and proof · cited by 19
- CategoryTheory.CommRingObjCat.Xstatement and proof · cited by 16
- CategoryTheory.IsRingHomstatement and proof · cited by 10
- CategoryTheory.CommRingObjCat.Homstatement · cited by 7
- CategoryTheory.CommRingObjCat.Hom.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.CommRingObjCat.Hom.mk.injproof · cited by 1