Theorems · Theorem · combinatorics
Finset.replicate_mem_sym
∀ {α : Type u_1} {s : Finset α} {a : α} [inst : DecidableEq α], a ∈ s → ∀ (n : ℕ), Sym.replicate n a ∈ s.sym n- Defined in
- Mathlib.Data.Finset.Sym
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 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
- Symstatement · cited by 150
- Finset.symstatement · cited by 35
- Sym.replicatestatement and proof · cited by 15
- Finset.mem_sym_iffproof · cited by 9
- Sym.mem_replicateproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Finset.Nonempty.symproof · cited by 1
- Finset.sym_singletonproof · cited by 0