Theorems · Theorem · ring theory
OreLocalization.numeratorHom_apply
∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {r : R},
OreLocalization.numeratorHom r = r /ₒ 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Quot.sound
- Assumes
- MonoidOreLocalization.OreSet
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalizationstatement · cited by 90
- OreLocalization.oreDivstatement · cited by 72
- OreLocalization.numeratorHomstatement · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- OreLocalization.universalMulHom_uniqueproof · cited by 1
- OreLocalization.numeratorHom_injproof · cited by 1