Theorems · Theorem · ring theory
OreLocalization.cardinalMk_le
∀ {R : Type u} [inst : Monoid R] (S : Submonoid R) [inst_1 : OreLocalization.OreSet S],
Cardinal.mk (OreLocalization S R) ≤ Cardinal.mk R- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidOreLocalization.OreSet
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Cardinal.lift_idproof · cited by 163
- OreLocalization.OreSetstatement and proof · cited by 92
- OreLocalizationstatement and proof · cited by 90
- OreLocalization.cardinalMk_le_maxproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- OreLocalization.cardinalMkproof · cited by 1
- Localization.cardinalMk_leproof · cited by 1