AxisAlgebra.bounded: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 121-129 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=121&end_line=129

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
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 bounded(+axes: List<&2, U32>, +rank: U32) -> {Layout.bounded(axes, rank) == Axis.bounded(Shape.naturals(axes), U32.to_nat(rank)) : Bool}:
  match axes:
    case Nil{}:
      {==}
    case +head <> +tail:
      %Arith.u32_lt(head, rank) : {Bool.and(_, Layout.bounded(tail, rank)) == Axis.bounded(Shape.naturals(head <> tail), U32.to_nat(rank)) : Bool}
      %Equal.sym(Bool, Layout.bounded(tail, rank), Axis.bounded(Shape.naturals(tail), U32.to_nat(rank)), bounded(tail, rank)) :
        {Bool.and(Nat.is_lt(U32.to_nat(head), U32.to_nat(rank)), _) == Axis.bounded(Shape.naturals(head <> tail), U32.to_nat(rank)) : Bool}
      {==}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  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_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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/storage/arith.bend&name=u32_lt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=bounded
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=bounded