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