Theorems · Theorem · logic and foundations
Function.Surjective.countable
∀ {α : Sort u} {β : Sort v} [Countable α] {f : α → β}, Function.Surjective f → Countable β- Defined in
- Mathlib.Data.Countable.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Classical.choice
- Assumes
- Countable
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 and proof · cited by 633
- Function.injective_surjInvproof · cited by 14
- Function.Injective.countableproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Set.countable_rangeproof · cited by 31
- countable_iff_exists_surjectiveproof · cited by 3
- not_surjective_countable_uncountableproof · cited by 0