List.take_append_drop_sym: law of bend-mathlib@0.8.1.0 Import: import bend-mathlib@0.8.1.0/list.bend as List Lines 2227-2233 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=2227&end_line=2233 import Base # Taking n elements and appending the rest after dropping n gives the list back, reversed to rewrite toward the simple side. law take_append_drop_sym: for -a: Quant for -A: Kind(a) for xs: List for n: Nat {xs == List.append(a, A, List.take(a, A, xs, n), List.drop(a, A, xs, n)) : List} Uses (7): 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.drop https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.take https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/list.bend&name=take_append_drop