Theorems · Theorem · logic and foundations
not_countable
∀ {α : Sort u} [Uncountable α], ¬Countable α- Defined in
- Mathlib.Data.Countable.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- Uncountable
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 and proof · cited by 27
- Uncountable.not_countableproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Function.Injective.uncountableproof · cited by 4
- not_injective_uncountable_countableproof · cited by 0
- not_surjective_countable_uncountableproof · cited by 0