Theorems · Theorem · ring theory
AddOreLocalization.cardinalMk_le
∀ {R : Type u} [inst : AddMonoid R] (S : AddSubmonoid R) [inst_1 : AddOreLocalization.AddOreSet S],
Cardinal.mk (AddOreLocalization S R) ≤ Cardinal.mk R- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Cardinalstatement and proof · cited by 2,598
- AddSubmonoidstatement and proof · cited by 1,178
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Cardinal.lift_idproof · cited by 163
- AddOreLocalization.AddOreSetstatement and proof · cited by 50
- AddOreLocalizationstatement and proof · cited by 44
- max_eq_right_iffproof · cited by 5
- Cardinal.mk_subtype_leproof · cited by 4
- AddOreLocalization.cardinalMk_le_maxproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddLocalization.cardinalMk_leproof · cited by 0