def internal_swap_head_length
import bend-mathlib@0.8.1.0/perm.bend as Permimport Base
import bendlib-kernel-list@1.0.0.0/list.bend as K
305def internal_swap_head_length(-A: Data, xs: List<&2, A>) -> {List.length(&2, A, K.swap_head(A, xs)) == List.length(&2, A, xs) : Nat}:
306 match xs:
307 case Nil{}:
308 {==}
309 case +x <> t:
310 match t:
311 case Nil{}:
312 {==}
313 case +y <> u:
314 {==}