Theorems · Definition · category theory
CategoryTheory.RingObjCat.Hom.noConfusion
{P : Sort u_1} →
{C : Type u} →
{inst : CategoryTheory.Category.{v, u} C} →
{inst_1 : CategoryTheory.CartesianMonoidalCategory C} →
{inst_2 : CategoryTheory.BraidedCategory C} →
{R₁ R₂ : CategoryTheory.RingObjCat C} →
{t : R₁.Hom R₂} →
{C' : Type u} →
{inst' : CategoryTheory.Category.{v, u} C'} →
{inst'_1 : CategoryTheory.CartesianMonoidalCategory C'} →
{inst'_2 : CategoryTheory.BraidedCategory C'} →
{R₁' R₂' : CategoryTheory.RingObjCat C'} →
{t' : R₁'.Hom R₂'} →
C = C' →
inst ≍ inst' →
inst_1 ≍ inst'_1 →
inst_2 ≍ inst'_2 →
R₁ ≍ R₁' → R₂ ≍ R₂' → t ≍ t' → CategoryTheory.RingObjCat.Hom.noConfusionType P t t'- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Homproof · 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.Xproof · cited by 19
- CategoryTheory.IsRingHomproof · cited by 10
- CategoryTheory.RingObjCat.Homstatement and proof · cited by 7
- CategoryTheory.RingObjCat.Hom.casesOnproof · cited by 0
- CategoryTheory.RingObjCat.Hom.noConfusionTypestatement · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.RingObjCat.Hom.mk.noConfusionproof · cited by 1