Theorems · Theorem · combinatorics
Finset.nonempty_coe_sort
∀ {α : Type u_1} {s : Finset α}, Nonempty ↥s ↔ s.Nonempty- Defined in
- Mathlib.Data.Finset.Empty
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finsetstatement and proof · cited by 13,712
- Finset.Nonemptystatement · cited by 1,001
- nonempty_subtypeproof · cited by 22
Cited by6
Results whose statement or proof uses this declaration.
- AddSubgroup.leftCoset_cover_filter_FiniteIndex_auxproof · cited by 3
- Subgroup.leftCoset_cover_filter_FiniteIndex_auxproof · cited by 3
- Finset.Nonempty.to_subtypeproof · cited by 2
- Finset.Nonempty.coe_sortproof · cited by 1
- EMetric.pair_reductionproof · cited by 0
- Finset.forall_mem_constproof · cited by 0