Theorems · Theorem · combinatorics
Infinite.of_surjective
∀ {α : Sort u_4} {β : Sort u_5} [Infinite β] (f : α → β), Function.Surjective f → Infinite α- Defined in
- Mathlib.Data.Fintype.EquivFin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finiteproof · cited by 3,029
- Infinitestatement and proof · cited by 352
- Finite.of_surjectiveproof · cited by 14
- Finite.falseproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Finite.card_eq_zero_of_surjectiveproof · cited by 1
- cardQuot_mulproof · cited by 0