Theorems · Theorem · category theory
CategoryTheory.RingObjCat.mk.inj
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.CartesianMonoidalCategory C}
{inst_2 : CategoryTheory.BraidedCategory C} {X : C} {ringObj : CategoryTheory.RingObj X} {X_1 : C}
{ringObj_1 : CategoryTheory.RingObj X_1},
{ X := X, ringObj := ringObj } = { X := X_1, ringObj := ringObj_1 } → X = X_1 ∧ ringObj ≍ ringObj_1- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 1 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.
Cites6
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
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.RingObjCatstatement · cited by 23
- CategoryTheory.RingObjstatement and proof · cited by 9
- CategoryTheory.RingObjCat.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.RingObjCat.mk.injEqproof · cited by 0