List.head_reverse: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/list.bend as List
Lines 1800-1805 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=1800&end_line=1805
import Base
# The head of the reverse is the last element.
law head_reverse:
for -a: Quant
for -A: Kind(a)
for xs: List
{List.head(a, A, List.reverse(a, A, xs)) == List.last(a, A, xs) : Maybe}
Uses (6):
https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.head
https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.last
https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.reverse
https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/list.bend&name=internal_head_reverse_go