Theorems · Theorem · ring theory
OreLocalization.smul_div_one
∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {X : Type u_2}
[inst_2 : MulAction R X] {p : R} {r : X} {s : ↥S}, (p /ₒ s) • (r /ₒ 1) = p • r /ₒ s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- one_mulproof · cited by 2,841
- MulActionstatement and proof · cited by 1,294
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalizationstatement · cited by 90
- OreLocalization.oreDivstatement and proof · cited by 72
- OreLocalization.oreDiv_smul_charproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- OreLocalization.smul_oreDiv_oneproof · cited by 0
- OreLocalization.smul_zeroproof · cited by 0