Theorems · Theorem · ring theory
OreLocalization.ind
∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {X : Type u_2}
[inst_2 : MulAction R X] {β : OreLocalization S X → Prop},
(∀ (r : X) (s : ↥S), β (r /ₒ s)) → ∀ (q : OreLocalization S X), β q- Cited by
- 18 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.
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement and proof · cited by 3,086
- MulActionstatement and proof · cited by 1,294
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalizationstatement and proof · cited by 90
- OreLocalization.oreDivstatement and proof · cited by 72
Cited by18
Results whose statement or proof uses this declaration.
- OreLocalization.oreDiv_one_surjective_of_finite_leftproof · cited by 2
- OreLocalization.oreDiv_one_surjective_of_finite_rightproof · cited by 2
- OreLocalization.universalMulHom_uniqueproof · cited by 1
- OreLocalization.one_smulproof · cited by 1
- OreLocalization.add_smulproof · cited by 1
- OreLocalization.oreDiv_one_smulproof · cited by 1
- OreLocalization.smul_addproof · cited by 1
- OreLocalization.mul_smulproof · cited by 1
- OreLocalization.smul_one_smulproof · cited by 1
- OreLocalization.zero_addproof · cited by 0
- OreLocalization.zero_smulproof · cited by 0
- OreLocalization.add_assocproof · cited by 0