Theorems · Theorem · logic and foundations
Cardinal.finset_card_lt_aleph0
∀ {α : Type u} (s : Finset α), Cardinal.mk ↑↑s < Cardinal.aleph0- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- Cardinal.aleph0statement · cited by 521
- Cardinal.lt_aleph0_of_finiteproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.mk_compl_finset_of_infiniteproof · cited by 0
- Finset.eventually_cocardinal_notMemproof · cited by 0