Theorems · Theorem · ring theory
OreLocalization.oreDiv_one_surjective_of_finite_left
∀ {R : Type u} [inst : Monoid R] (S : Submonoid R) [inst_1 : OreLocalization.OreSet S] (X : Type v)
[inst_2 : MulAction R X] [Finite ↥S], Function.Surjective fun x => x /ₒ 1- 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- mul_oneproof · cited by 3,885
- Submonoidstatement and proof · cited by 3,086
- Finitestatement and proof · cited by 3,029
- MulActionstatement and proof · cited by 1,294
- pow_succproof · cited by 374
- pow_addproof · cited by 315
- SemigroupAction.mul_smulproof · cited by 291
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalizationstatement and proof · cited by 90
- OreLocalization.oreDivstatement · cited by 72
- Ne.lt_of_leproof · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- OreLocalization.cardinalMk_le_maxproof · cited by 1
- OreLocalization.numeratorHom_surjective_of_finiteproof · cited by 0