Theorems · Theorem · combinatorics
List.permutationsAux_cons
∀ {α : Type u_1} (t : α) (ts is : List α),
(t :: ts).permutationsAux is =
List.foldr (fun y r => (List.permutationsAux2 t ts r y id).2) (ts.permutationsAux (t :: is)) is.permutations- Defined in
- Mathlib.Data.List.Permutation
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 40 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.
- List.permutationsAux2statement and proof · cited by 26
- List.permutationsstatement and proof · cited by 18
- List.permutationsAuxstatement and proof · cited by 12
- List.permutationsAux.recproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- List.permutations_perm_permutations'proof · cited by 3
- List.mem_permutationsAux_of_permproof · cited by 1
- List.length_permutationsAuxproof · cited by 1
- List.permutationsAux_appendproof · cited by 1
- List.permutations_take_twoproof · cited by 1
- List.perm_of_mem_permutationsAuxproof · cited by 1
- List.map_permutationsAuxproof · cited by 1