TransposeLAWS.transpose_axes_self_inverse: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transpose_LAWS.bend as TransposeLAWS
Lines 23-29 of bendtorch-core@0.1.0.0/src/tensor/transpose_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_LAWS.bend&start_line=23&end_line=29

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

law transpose_axes_self_inverse:
  for +shape: Shape.Shape
  for +a: U32
  for +b: U32
  for +inside: {True{} == Transpose.valid(shape, a, b) : Bool}
  {Axis.inverse_axes(Shape.rank_dimensions(Shape.dimensions(shape)), Shape.naturals(Layout.transpose_axes(Shape.dimensions(shape), a, b, 0))) ==
    Shape.naturals(Layout.transpose_axes(Shape.dimensions(shape), a, b, 0)) : List<&2, Nat>}

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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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=naturals
  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/axis_spec.bend&name=inverse_axes
  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=inverse_axes
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_spec.bend&name=valid