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Theorems · Definition · ring theory

OreLocalization.OreSet.oreNum

{R : Type u_1} → {inst : Monoid R} → {S : Submonoid R} → [self : OreLocalization.OreSet S] → R → ↥S → R

The Ore numerator of a fraction.

Defined in
Mathlib.GroupTheory.OreLocalization.OreSet
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
OreLocalization.OreSet
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OreLocalization.oreNum · cited by 11OreLocalization.oreNumOreLocalization.OreSet.ore_eq · cited by 1OreSet.ore_eqMonoid · cited by 3887MonoidSubmonoid · cited by 3086SubmonoidOreLocalization.OreSet · cited by 92OreLocalization.OreSetOreSet.oreNumCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.