Theorems · Theorem · logic and foundations
Cardinal.le_sum
∀ {ι : Type u} (f : ι → Cardinal.{max u v}) (i : ι), f i ≤ Cardinal.sum f- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.lift_idproof · cited by 163
- Cardinal.sumstatement and proof · cited by 58
- Cardinal.lift_le_sumproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.bddAbove_iff_smallproof · cited by 3
- Cardinal.iSup_le_sumproof · cited by 0
- nonempty_embedding_to_cardinalproof · cited by 0