Theorems · Theorem · ring theory
AddOreLocalization.vadd_sub_zero
∀ {R : Type u_1} [inst : AddMonoid R] {S : AddSubmonoid R} [inst_1 : AddOreLocalization.AddOreSet S] {X : Type u_2}
[inst_2 : AddAction R X] {p : R} {r : X} {s : ↥S}, (p -ₒ s) +ᵥ r -ₒ 0 = (p +ᵥ r) -ₒ s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
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.
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- 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 · cited by 44
- AddOreLocalization.oreSubstatement and proof · cited by 40
- AddOreLocalization.oreSub_vadd_charproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- AddOreLocalization.vadd_oreSub_zeroproof · cited by 0