Theorems · Theorem · order theory
Finset.univ_nonempty_iff
∀ {α : Type u_1} [inst : Fintype α], Finset.univ.Nonempty ↔ Nonempty α- Defined in
- Mathlib.Data.Finset.BooleanAlgebra
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Fintypestatement and proof · cited by 7,736
- Set.univproof · cited by 3,945
- Finset.univstatement · cited by 3,473
- Set.Nonemptyproof · cited by 2,627
- Finset.Nonemptystatement · cited by 1,001
- Finset.coe_univproof · cited by 101
- Finset.coe_nonemptyproof · cited by 18
- Set.nonempty_iff_univ_nonemptyproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Finset.univ_nonemptyproof · cited by 50
- Finset.univ_eq_empty_iffproof · cited by 4