List.head_map: law of bend-mathlib@0.8.1.0 Import: import bend-mathlib@0.8.1.0/list.bend as List Lines 1662-1668 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=1662&end_line=1668 import Base # The head of a map is the mapped head. law head_map: for ~A: Type for ~B: Type for ~f: A -> B for xs: List {List.head(&1, B, List.map(~A, ~B, ~f, xs)) == Maybe.map(&1, A, B, f, List.head(&1, A, xs)) : Maybe<&1, B>} Uses (5): 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.map https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe.map