Theorems · Theorem · logic and foundations
uncountable_iff_forall_not_surjective
∀ {α : Sort u} [Nonempty α], Uncountable α ↔ ∀ (f : ℕ → α), ¬Function.Surjective f- Defined in
- Mathlib.Data.Countable.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
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- Uncountablestatement · cited by 27
- not_countable_iffproof · cited by 4
- countable_iff_exists_surjectiveproof · cited by 3
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