Theorems · Theorem · combinatorics
isEmpty_fintype
∀ {α : Type u_4}, IsEmpty (Fintype α) ↔ Infinite α- Defined in
- Mathlib.Data.Fintype.EquivFin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finiteproof · cited by 3,029
- IsEmptystatement and proof · cited by 759
- Infinitestatement and proof · cited by 352
- nonempty_fintypeproof · cited by 261
- Fintype.finiteproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Field.exists_primitive_elementproof · cited by 6
- Infinite.of_not_fintypeproof · cited by 1