Mathlib Map

Theorems · Theorem · combinatorics

List.sym_one_eq

∀ {α : Type u_1} {xs : List α}, List.sym 1 xs = List.map (fun x => x ::ₛ Sym.nil) xs
Defined in
Mathlib.Data.List.Sym
Cited by
1 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

List.sym2_eq_sym_two · cited by 0List.sym2_eq_sym_twoSym · cited by 150SymSym.cons · cited by 26Sym.consSym.nil · cited by 11Sym.nilList.sym · cited by 10List.symList.sym_one_eqCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Symstatement and proof · cited by 150
  • Sym.consstatement and proof · cited by 26
  • Sym.nilstatement and proof · cited by 11
  • List.symstatement and proof · cited by 10

Cited by1

Results whose statement or proof uses this declaration.