Theorems · Theorem · combinatorics
Set.Aesop.toFinset_nonempty_of_nonempty
∀ {α : Type u_1} {s : Set α} [inst : Fintype ↑s], s.Nonempty → s.toFinset.NonemptyAlias of the reverse direction of Set.toFinset_nonempty.
- Defined in
- Mathlib.Data.Fintype.Sets
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- Set.Nonemptystatement · cited by 2,627
- Finset.Nonemptystatement · cited by 1,001
- Set.toFinsetstatement · cited by 217
- Set.toFinset_nonemptyproof · cited by 2
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