def internal_length_eq
import bend-mathlib@0.8.1.0/perm.bend as Permimport Base
import bendlib-kernel-list@1.0.0.0/list.bend as K
335def internal_length_eq(-A: Data, +s: List<&2, Nat>, +xs: List<&2, A>, -ys: List<&2, A>, e: K.perm_steps(A, s, xs, ys)) -> {List.length(&2, A, ys) == List.length(&2, A, xs) : Nat}:
336 %e : {List.length(&2, A, _) == List.length(&2, A, xs) : Nat}
337 internal_apply_length(A, s, xs)