Theorems · Theorem · ring theory
AddOreLocalization.oreSub_zero_vadd
∀ {M : Type u_3} {X : Type u_4} [inst : AddMonoid M] {S : AddSubmonoid M} [inst_1 : AddOreLocalization.AddOreSet S]
[inst_2 : AddAction M X] (r : M) (x : AddOreLocalization S X), (r -ₒ 0) +ᵥ x = r +ᵥ x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddSubmonoidstatement and proof · cited by 1,178
- AddActionstatement and proof · cited by 820
- AddOreLocalization.AddOreSetstatement and proof · cited by 50
- AddOreLocalizationstatement and proof · cited by 44
- AddOreLocalization.oreSubstatement and proof · cited by 40
- vadd_eq_addproof · cited by 39
- AddOreLocalization.indproof · cited by 8
- AddOreLocalization.oreSubtraproof · cited by 7
- AddOreLocalization.oreMinproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- AddOreLocalization.vadd_zero_oreSub_zero_vaddproof · cited by 1