def internal_cons_eq

bend-mathlib@0.8.1.0 · perm.bend:52

import Base
import bendlib-kernel-list@1.0.0.0/list.bend as K

52def internal_cons_eq(-A: Data, +s: List<&2, Nat>, +x: A, +xs: List<&2, A>, -ys: List<&2, A>, e: K.perm_steps(A, s, xs, ys)) -> K.perm_steps(A, internal_shift(s), x <> xs, x <> ys):
53  %Equal.sym(List<&2, A>, K.apply(A, internal_shift(s), x <> xs), x <> K.apply(A, s, xs), internal_apply_shift(A, s, x, xs)) : {_ == x <> ys : List<&2, A>}
54  %Equal.sym(List<&2, A>, K.apply(A, s, xs), ys, e) : {x <> _ == x <> ys : List<&2, A>}
55  {==}