Theorems · Definition · ring theory
AddOreLocalization
{R : Type u_1} →
[inst : AddMonoid R] →
(S : AddSubmonoid R) → [AddOreLocalization.AddOreSet S] → (X : Type u_2) → [AddAction R X] → Type (max u_1 u_2)The Ore localization of an additive monoid and a submonoid fulfilling the Ore condition.
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddOreLocalization.oreEqvproof · cited by 1
Cited by57
Results whose statement or proof uses this declaration.
- AddOreLocalization.oreSubstatement · cited by 40
- AddLocalizationproof · cited by 38
- AddOreLocalization.oreSub_add_charstatement · cited by 8
- AddOreLocalization.indstatement and proof · cited by 8
- AddOreLocalization.oreSub_vadd_charstatement · cited by 6
- AddOreLocalization.oreSub_eq_iffstatement · cited by 5
- AddOreLocalization.zero_defstatement · cited by 5
- AddOreLocalization.numeratorHomstatement · cited by 5
- AddOreLocalization.universalAddHomstatement and proof · cited by 3
- AddOreLocalization.oreSub_zero_surjective_of_finite_leftstatement and proof · cited by 2
- AddOreLocalization.oreSub_zero_surjective_of_finite_rightstatement and proof · cited by 2
- AddOreLocalization.vadd_oreSubstatement · cited by 2