Theorems · Theorem · ring theory
AddOreLocalization.oreSub_zero_surjective_of_finite_right
∀ {R : Type u} [inst : AddMonoid R] (S : AddSubmonoid R) [inst_1 : AddOreLocalization.AddOreSet S] (X : Type v)
[inst_2 : AddAction R X] [Finite X], Function.Surjective fun x => x -ₒ 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- HVAdd.hVAddproof · cited by 1,820
- AddSubmonoidstatement and proof · cited by 1,178
- AddActionstatement and proof · cited by 820
- not_ltproof · cited by 306
- succ_nsmulproof · cited by 65
- AddOreLocalization.AddOreSetstatement and proof · cited by 50
- add_nsmulproof · cited by 44
- AddOreLocalizationstatement and proof · cited by 44
- AddSemigroupAction.add_vaddproof · cited by 43
Cited by2
Results whose statement or proof uses this declaration.
- AddOreLocalization.cardinalMk_le_maxproof · cited by 1
- AddOreLocalization.cardinalMk_le_lift_cardinalMk_of_addCommuteproof · cited by 0