def perm_cons
import bend-mathlib@0.8.1.0/perm.bend as Permimport Base
import bendlib-kernel-list@1.0.0.0/list.bend as K
57# Prepending the same element preserves permutation.
58def perm_cons(-A: Data, +x: A, +xs: List<&2, A>, -ys: List<&2, A>, h: K.perm(A, xs, ys)) -> K.perm(A, x <> xs, x <> ys):
59 (s, e) = h
60 +s = s
61 (internal_shift(s), internal_cons_eq(A, s, x, xs, ys, e))