Theorems · Theorem · logic and foundations
not_surjective_countable_uncountable
∀ {α : Sort u} {β : Sort v} [Countable α] [Uncountable β] (f : α → β), ¬Function.Surjective f- Defined in
- Mathlib.Data.Countable.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses Classical.choice
- Assumes
- CountableUncountable
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Countablestatement and proof · cited by 633
- Uncountablestatement and proof · cited by 27
- Function.Surjective.countableproof · cited by 3
- not_countableproof · cited by 3
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