Theorems · Theorem · ring theory
OreLocalization.zero_def
∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {X : Type u_2}
[inst_2 : Zero X] [inst_3 : MulAction R X], 0 = 0 /ₒ 1- Cited by
- 6 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 by6
Results whose statement or proof uses this declaration.
- OreLocalization.zero_oreDivproof · cited by 8
- OreLocalization.zero_oreDiv'proof · cited by 3
- OreLocalization.subsingleton_iffproof · cited by 1
- OreLocalization.zero_smulproof · cited by 0
- OreLocalization.smul_zeroproof · cited by 0
- OreLocalization.inv_zeroproof · cited by 0