Theorems · Theorem · group theory
Localization.cardinalMk_le
∀ {M : Type u} [inst : CommMonoid M] (S : Submonoid M), Cardinal.mk (Localization S) ≤ Cardinal.mk M- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
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.
- Submonoidstatement and proof · cited by 3,086
- Cardinalstatement · cited by 2,598
- CommMonoidstatement and proof · cited by 2,264
- Cardinal.mkstatement · cited by 942
- Localizationstatement · cited by 270
- OreLocalization.cardinalMk_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalization.lift_cardinalMk_leproof · cited by 1