List.reverse_append_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/list.bend as List
Lines 2182-2188 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=2182&end_line=2188
import Base
# Reversing an append reverses and swaps the parts: reverse (xs ++ ys) = reverse ys ++ reverse xs, reversed to rewrite toward the simple side.
law reverse_append_sym:
for -a: Quant
for -A: Kind(a)
for xs: List
for ys: List
{List.append(a, A, List.reverse(a, A, ys), List.reverse(a, A, xs)) == List.reverse(a, A, List.append(a, A, xs, ys)) : 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_append