Theorems · Theorem · ring theory
AddOreLocalization.ind
∀ {R : Type u_1} [inst : AddMonoid R] {S : AddSubmonoid R} [inst_1 : AddOreLocalization.AddOreSet S] {X : Type u_2}
[inst_2 : AddAction R X] {β : AddOreLocalization S X → Prop},
(∀ (r : X) (s : ↥S), β (r -ₒ s)) → ∀ (q : AddOreLocalization S X), β q- Cited by
- 8 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
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.
- AddMonoidstatement and proof · cited by 2,864
- 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
Cited by8
Results whose statement or proof uses this declaration.
- AddOreLocalization.oreSub_zero_surjective_of_finite_leftproof · cited by 2
- AddOreLocalization.oreSub_zero_surjective_of_finite_rightproof · cited by 2
- AddOreLocalization.zero_vaddproof · cited by 1
- AddOreLocalization.vadd_zero_vaddproof · cited by 1
- AddOreLocalization.oreSub_zero_vaddproof · cited by 1
- AddOreLocalization.add_vaddproof · cited by 1
- AddOreLocalization.universalAddHom_uniqueproof · cited by 0
- AddOreLocalization.add_zeroproof · cited by 0