Theorems · Theorem · combinatorics
Finset.Nonempty.sym
∀ {α : Type u_1} {s : Finset α} [inst : DecidableEq α], s.Nonempty → ∀ (n : ℕ), (s.sym n).Nonempty- Defined in
- Mathlib.Data.Finset.Sym
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Symstatement · cited by 150
- Finset.symstatement and proof · cited by 35
- Sym.replicateproof · cited by 15
- Finset.replicate_mem_symproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.eq_empty_of_sym_eq_emptyproof · cited by 1