def lists_0123

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:746

import Base

746def lists_0123(-A: Data, +items: List<&2, A>, length: {List.length(&2, A, items) == 4n : Nat}) -> ListFacts<A, 4n, [0n, 1n, 2n, 3n], items>:
747  match items:
748    case Nil{}:
749      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 2n, 3n], Nil{}>, nat_clash(0n, 4n, length, {==}))
750    case +x0 <> Nil{}:
751      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 2n, 3n], x0 <> Nil{}>, nat_clash(1n, 4n, length, {==}))
752    case +x0 <> +x1 <> Nil{}:
753      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 2n, 3n], x0 <> x1 <> Nil{}>, nat_clash(2n, 4n, length, {==}))
754    case +x0 <> +x1 <> +x2 <> Nil{}:
755      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 2n, 3n], x0 <> x1 <> x2 <> Nil{}>, nat_clash(3n, 4n, length, {==}))
756    case +x0 <> +x1 <> +x2 <> +x3 <> Nil{}:
757      Lists{{==}, {==}, {==}, {==}, {==}, {==}}
758    case +x0 <> +x1 <> +x2 <> +x3 <> +x4 <> +tail:
759      Empty.absurd(ListFacts<A, 4n, [0n, 1n, 2n, 3n], x0 <> x1 <> x2 <> x3 <> x4 <> tail>, nat_clash(5n+List.length(&2, A, tail), 4n, length, {==}))