List.contains_append_sym: law of bend-mathlib@0.8.1.0 Import: import bend-mathlib@0.8.1.0/list.bend as List Lines 2529-2536 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=2529&end_line=2536 import Base # An append contains x iff either part does, reversed to rewrite toward the simple side. law contains_append_sym: for ~A: Data for ~eq: A -> A -> Bool for xs: List<&2, A> for -ys: List<&2, A> for +x: A {Bool.or(List.contains(~A, ~eq, xs, x), List.contains(~A, ~eq, ys, x)) == List.contains(~A, ~eq, List.append(&2, A, xs, ys), x) : Bool} Uses (7): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.or 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.contains https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/list.bend&name=contains_append