Theorems · Theorem · ring theory
AddOreLocalization.add_vadd
∀ {R : Type u_1} [inst : AddMonoid R] {S : AddSubmonoid R} [inst_1 : AddOreLocalization.AddOreSet S] {X : Type u_2}
[inst_2 : AddAction R X] (x y : AddOreLocalization S R) (z : AddOreLocalization S X), (x + y) +ᵥ z = x +ᵥ y +ᵥ z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddSubmonoidstatement and proof · cited by 1,178
- AddActionstatement and proof · cited by 820
- add_assocproof · cited by 746
- AddOreLocalization.AddOreSetstatement and proof · cited by 50
- AddOreLocalizationstatement and proof · cited by 44
- AddSemigroupAction.add_vaddproof · cited by 43
- AddOreLocalization.oreSubproof · cited by 40
- AddOreLocalization.indproof · cited by 8
- AddOreLocalization.oreSub_vadd_charproof · cited by 6
- AddSubmonoid.coe_addproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddOreLocalization.add_assocproof · cited by 0