Theorems · Theorem · ring theory
OreLocalization.one_def
∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {X : Type u_2}
[inst_2 : MulAction R X] [inst_3 : One X], 1 = 1 /ₒ 1- Cited by
- 10 results in Mathlib
- Foundations
- Depth 24 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 · cited by 90
- OreLocalization.oreDivstatement · cited by 72
Cited by10
Results whose statement or proof uses this declaration.
- Localization.mk_oneproof · cited by 4
- AlgebraicGeometry.StructureSheaf.const_algebraMapproof · cited by 2
- OreLocalization.subsingleton_iffproof · cited by 1
- OreLocalization.oreDiv_powproof · cited by 1
- OreLocalization.one_smulproof · cited by 1
- OreLocalization.div_eq_one'proof · cited by 1
- LocalizedModule.mk_powproof · cited by 0
- LocalizedModule.prod_mkproof · cited by 0
- OreLocalization.mul_inv_cancelproof · cited by 0
- OreLocalization.mul_oneproof · cited by 0