List.reverse_cons_sym: law of bend-mathlib@0.8.1.0 Import: import bend-mathlib@0.8.1.0/list.bend as List Lines 3142-3148 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=3142&end_line=3148 import Base # Reversing a cons puts its head last: reverse (x :: xs) = reverse xs ++ [x], reversed to rewrite toward the simple side. law reverse_cons_sym: for -a: Quant for -A: Kind(a) for -x: A for xs: List {List.append(a, A, List.reverse(a, A, xs), [x]) == List.reverse(a, A, x <> xs) : List} Uses (5): 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.append 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=reverse_cons