List.all_reverse_sym: law of bend-mathlib@0.8.1.0 Import: import bend-mathlib@0.8.1.0/list.bend as List Lines 2812-2818 of bend-mathlib@0.8.1.0/list.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/list.bend&start_line=2812&end_line=2818 import Base # Reversing does not change whether all elements satisfy a predicate, reversed to rewrite toward the simple side. law all_reverse_sym: for ~a: Quant for ~A: Kind(a) for ~f: A -> Bool for xs: List {List.all(~a, ~A, ~f, xs) == List.all(~a, ~A, ~f, List.reverse(a, A, xs)) : Bool} Uses (6): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.all https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.reverse https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/list.bend&name=all_reverse