AxisAlgebra.contains: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 99-108 of bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&start_line=99&end_line=108

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout
import bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend as Axis

def contains(+axes: List<&2, U32>, +axis: U32) -> {Layout.contains(axis, axes) == Axis.contains(U32.to_nat(axis), Shape.naturals(axes)) : Bool}:
  match axes:
    case Nil{}:
      {==}
    case +head <> +tail:
      %Equal.sym(Bool, U32.is_eq(axis, head), Nat.is_eq(U32.to_nat(axis), U32.to_nat(head)), u32_eq(axis, head)) :
        {Bool.or(_, Layout.contains(axis, tail)) == Axis.contains(U32.to_nat(axis), Shape.naturals(head <> tail)) : Bool}
      %Equal.sym(Bool, Layout.contains(axis, tail), Axis.contains(U32.to_nat(axis), Shape.naturals(tail)), contains(tail, axis)) :
        {Bool.or(Nat.is_eq(U32.to_nat(axis), U32.to_nat(head)), _) == Axis.contains(U32.to_nat(axis), Shape.naturals(head <> tail)) : Bool}
      {==}

Uses (12):
  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=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=naturals
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=u32_eq
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=contains
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=contains