Theorems · Theorem · ring theory
AddOreLocalization.cardinalMk_le_max
∀ {R : Type u} [inst : AddMonoid R] (S : AddSubmonoid R) [inst_1 : AddOreLocalization.AddOreSet S] (X : Type v)
[inst_2 : AddAction R X],
Cardinal.mk (AddOreLocalization S X) ≤
max (Cardinal.lift.{v, u} (Cardinal.mk ↥S)) (Cardinal.lift.{u, v} (Cardinal.mk X))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finiteproof · cited by 3,029
- AddMonoidstatement and proof · cited by 2,864
- Cardinalstatement and proof · cited by 2,598
- mul_commproof · cited by 2,262
- AddSubmonoidstatement and proof · cited by 1,178
- Cardinal.mkstatement and proof · cited by 942
- AddActionstatement and proof · cited by 820
- Cardinal.liftstatement and proof · cited by 583
- Infiniteproof · cited by 352
- Cardinal.lift_umaxproof · cited by 56
- finite_or_infiniteproof · cited by 50
- AddOreLocalization.AddOreSetstatement and proof · cited by 50
Cited by1
Results whose statement or proof uses this declaration.
- AddOreLocalization.cardinalMk_leproof · cited by 1