List.drop_drop_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/list.bend as List
Lines 2366-2373 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=2366&end_line=2373
import Base
# Dropping m after dropping n is dropping n + m, reversed to rewrite toward the simple side.
law drop_drop_sym:
for -a: Quant
for -A: Kind(a)
for xs: List
for n: Nat
for -m: Nat
{List.drop(a, A, xs, Nat.add(n, m)) == List.drop(a, A, List.drop(a, A, xs, n), m) : List}
Uses (6):
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.drop
https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/list.bend&name=drop_drop