Theorems · Theorem · logic and foundations
Cardinal.lift_le_sum
∀ {ι : Type u} (f : ι → Cardinal.{v}) (i : ι), Cardinal.lift.{u, v} (f i) ≤ Cardinal.sum f- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Cardinalstatement and proof · cited by 2,598
- Cardinal.liftstatement and proof · cited by 583
- Quotient.outproof · cited by 141
- Cardinal.sumstatement and proof · cited by 58
- Quotient.out_eqproof · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.le_sumproof · cited by 3
- Cardinal.lift_iSup_le_sumproof · cited by 1