def lists_3201

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:2000

import Base

2000def lists_3201(-A: Data, +items: List<&2, A>, length: {List.length(&2, A, items) == 4n : Nat}) -> ListFacts<A, 4n, [3n, 2n, 0n, 1n], items>:
2001  match items:
2002    case Nil{}:
2003      Empty.absurd(ListFacts<A, 4n, [3n, 2n, 0n, 1n], Nil{}>, nat_clash(0n, 4n, length, {==}))
2004    case +x0 <> Nil{}:
2005      Empty.absurd(ListFacts<A, 4n, [3n, 2n, 0n, 1n], x0 <> Nil{}>, nat_clash(1n, 4n, length, {==}))
2006    case +x0 <> +x1 <> Nil{}:
2007      Empty.absurd(ListFacts<A, 4n, [3n, 2n, 0n, 1n], x0 <> x1 <> Nil{}>, nat_clash(2n, 4n, length, {==}))
2008    case +x0 <> +x1 <> +x2 <> Nil{}:
2009      Empty.absurd(ListFacts<A, 4n, [3n, 2n, 0n, 1n], x0 <> x1 <> x2 <> Nil{}>, nat_clash(3n, 4n, length, {==}))
2010    case +x0 <> +x1 <> +x2 <> +x3 <> Nil{}:
2011      Lists{{==}, {==}, {==}, {==}, {==}, {==}}
2012    case +x0 <> +x1 <> +x2 <> +x3 <> +x4 <> +tail:
2013      Empty.absurd(ListFacts<A, 4n, [3n, 2n, 0n, 1n], x0 <> x1 <> x2 <> x3 <> x4 <> tail>, nat_clash(5n+List.length(&2, A, tail), 4n, length, {==}))