Theorems · Theorem · ring theory
OreLocalization.add_zero
∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {X : Type u_2}
[inst_2 : AddMonoid X] [inst_3 : DistribMulAction R X] (x : OreLocalization S X), x + 0 = x- Defined in
- Mathlib.RingTheory.OreLocalization.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
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Cites11
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
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- DistribMulActionstatement and proof · cited by 584
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalizationstatement and proof · cited by 90
- OreLocalization.oreDivproof · cited by 72
- OreLocalization.indproof · cited by 18
- OreLocalization.zero_oreDivproof · cited by 8
- OreLocalization.add_oreDivproof · cited by 4
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