Theorems · Definition · ring theory
AddOreLocalization.oreSub
{R : Type u_1} →
[inst : AddMonoid R] →
{S : AddSubmonoid R} →
[inst_1 : AddOreLocalization.AddOreSet S] →
{X : Type u_2} → [inst_2 : AddAction R X] → X → ↥S → AddOreLocalization S XThe subtraction in the Ore localization,
as a difference of an element of X and S.
- Cited by
- 40 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- AddActionstatement and proof · cited by 820
- AddOreLocalization.AddOreSetstatement and proof · cited by 50
- AddOreLocalizationstatement · cited by 44
Cited by47
Results whose statement or proof uses this declaration.
- AddLocalization.mkproof · cited by 28
- AddOreLocalization.oreSub_add_charstatement · cited by 8
- AddOreLocalization.indstatement and proof · cited by 8
- AddOreLocalization.oreSub_vadd_charstatement · cited by 6
- AddOreLocalization.oreSub_eq_iffstatement · cited by 5
- AddOreLocalization.zero_defstatement · cited by 5
- AddOreLocalization.numeratorHomproof · cited by 5
- AddOreLocalization.oreSub_zero_surjective_of_finite_leftstatement · cited by 2
- AddOreLocalization.oreSub_zero_surjective_of_finite_rightstatement · cited by 2
- AddOreLocalization.vadd_oreSubstatement and proof · cited by 2
- AddOreLocalization.oreSubAddChar'statement · cited by 1
- AddOreLocalization.oreSubVAddChar'statement · cited by 1