TransposePROOF.valid_axes: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend as TransposePROOF
Lines 153-159 of bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&start_line=153&end_line=159

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/transpose_spec.bend as Transpose

def valid_axes(+shape: Shape.Shape, +a: U32, +b: U32,
  +inside: {True{} == Transpose.valid(shape, a, b) : Bool}) ->
  {True{} == Layout.bijective(shape, Layout.transpose_axes(Shape.dimensions(shape), a, b, 0)) : Bool}:
  %Equal.sym(List<&2, U32>, Layout.transpose_axes(Shape.dimensions(shape), a, b, 0), Transpose.requested_axes(Shape.rank_dimensions(Shape.dimensions(shape)), U32.to_nat(a), U32.to_nat(b)), transpose_axes_requested(shape, a, b, inside)) :
    {True{} == Layout.bijective(shape, _) : Bool}
  natural_valid_layout(shape, Transpose.requested_axes(Shape.rank_dimensions(Shape.dimensions(shape)), U32.to_nat(a), U32.to_nat(b)),
    requested_valid(Shape.dimensions(shape), U32.to_nat(a), U32.to_nat(b), axes_facts(Shape.dimensions(shape), U32.to_nat(a), U32.to_nat(b), rank_bound(shape), inside_natural(shape, a, b, inside))))

Uses (18):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=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=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=rank_dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=bijective
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=transpose_axes
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&name=axes_facts
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&name=inside_natural
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&name=natural_valid_layout
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&name=rank_bound
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&name=requested_valid
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&name=transpose_axes_requested
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_spec.bend&name=requested_axes
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_spec.bend&name=valid