law all_reverse_sym

bend-mathlib@0.8.1.0 · list.bend:2812

import Base

2812# Reversing does not change whether all elements satisfy a predicate, reversed to rewrite toward the simple side.
2813law all_reverse_sym:
2814  for ~a: Quant
2815  for ~A: Kind(a)
2816  for ~f: A -> Bool
2817  for xs: List<a, A>
2818  {List.all(~a, ~A, ~f, xs) == List.all(~a, ~A, ~f, List.reverse(a, A, xs)) : Bool}