Theorems · Theorem · ring theory
OreLocalization.mul_cancel
∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {r : R} {s t : ↥S},
↑s /ₒ t * (r /ₒ s) = r /ₒ t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
- Assumes
- MonoidOreLocalization.OreSet
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- one_mulproof · cited by 2,841
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalizationstatement · cited by 90
- OreLocalization.oreDivstatement and proof · cited by 72
- OreLocalization.oreDiv_mul_charproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- OreLocalization.universalMulHom_uniqueproof · cited by 1