Theorems · Theorem · combinatorics
Finset.Nonempty.subset_singleton_iff
∀ {α : Type u_1} {s : Finset α} {a : α}, s.Nonempty → (s ⊆ {a} ↔ s = {a})- Defined in
- Mathlib.Data.Finset.Insert
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 and proof · cited by 1,001
- Finset.Nonempty.ne_emptyproof · cited by 22
- Finset.subset_singleton_iffproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Finset.Nonempty.subset_one_iffproof · cited by 0
- Finset.Nonempty.subset_zero_iffproof · cited by 0