Theorems · Theorem · combinatorics
Finset.Nonempty.to_set
∀ {α : Type u_1} {s : Finset α}, s.Nonempty → (↑s).NonemptyAlias of the reverse direction of Finset.coe_nonempty.
- Defined in
- Mathlib.Data.Finset.Empty
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.Nonemptystatement · cited by 2,627
- Finset.Nonemptystatement · cited by 1,001
- Finset.coe_nonemptyproof · cited by 18
Cited by7
Results whose statement or proof uses this declaration.
- Finset.Nonempty.csSup_eq_max'proof · cited by 5
- Finset.sup'_eq_csSup_imageproof · cited by 4
- Finset.nsmul_right_strictMonoOnproof · cited by 1
- Finset.pow_right_strictMonoOnproof · cited by 1
- AffineIndependent.card_le_card_of_subset_affineSpanproof · cited by 0
- AffineIndependent.card_lt_card_of_affineSpan_lt_affineSpanproof · cited by 0