def lists_0132

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:803

import Base

803def lists_0132(-A: Data, +items: List<&2, A>, length: {List.length(&2, A, items) == 4n : Nat}) -> ListFacts<A, 4n, [0n, 1n, 3n, 2n], items>:
804  match items:
805    case Nil{}:
806      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 3n, 2n], Nil{}>, nat_clash(0n, 4n, length, {==}))
807    case +x0 <> Nil{}:
808      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 3n, 2n], x0 <> Nil{}>, nat_clash(1n, 4n, length, {==}))
809    case +x0 <> +x1 <> Nil{}:
810      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 3n, 2n], x0 <> x1 <> Nil{}>, nat_clash(2n, 4n, length, {==}))
811    case +x0 <> +x1 <> +x2 <> Nil{}:
812      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 3n, 2n], x0 <> x1 <> x2 <> Nil{}>, nat_clash(3n, 4n, length, {==}))
813    case +x0 <> +x1 <> +x2 <> +x3 <> Nil{}:
814      Lists{{==}, {==}, {==}, {==}, {==}, {==}}
815    case +x0 <> +x1 <> +x2 <> +x3 <> +x4 <> +tail:
816      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 3n, 2n], x0 <> x1 <> x2 <> x3 <> x4 <> tail>, nat_clash(5n+List.length(&2, A, tail), 4n, length, {==}))