Theorems · Theorem · logic and foundations
not_countable_iff
∀ {α : Sort u}, ¬Countable α ↔ Uncountable α- Defined in
- Mathlib.Data.Countable.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Countablestatement · cited by 633
- Uncountablestatement · cited by 27
- uncountable_iff_not_countableproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.aleph0_lt_mk_iffproof · cited by 2
- Set.not_countable_univ_iffproof · cited by 1
- uncountable_iff_forall_not_surjectiveproof · cited by 0
- uncountable_iff_isEmpty_embeddingproof · cited by 0