List.append_cons_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/list.bend as List
Lines 2426-2433 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=2426&end_line=2433
import Base
# Appending after a cons: (x :: xs) ++ ys = x :: (xs ++ ys), reversed to rewrite toward the simple side.
law append_cons_sym:
for -a: Quant
for -A: Kind(a)
for -x: A
for -xs: List
for -ys: List
{x <> List.append(a, A, xs, ys) == List.append(a, A, x <> xs, ys) : List}
Uses (4):
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=bend-mathlib@0.8.1.0/list.bend&name=append_cons