PermutationMapping.permutation_output_rank: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend as PermutationMapping
Lines 745-750 of bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&start_line=745&end_line=750

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
import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra

def permutation_output_rank(+input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>) ->
  {Shape.rank_dimensions(Shape.dimensions(Layout.output(input, axes, plan))) == Shape.rank_dimensions(Shape.dimensions(input)) : Nat}:
  Equal.trans(Nat, Shape.rank_dimensions(Shape.dimensions(Layout.output(input, axes, plan))),
    Shape.rank_dimensions(Axis.order(U32, Shape.dimensions(input), Shape.naturals(axes))), Shape.rank_dimensions(Shape.dimensions(input)),
    Equal.cong(List<&2, U32>, Nat, Shape.rank_dimensions, Shape.dimensions(Layout.output(input, axes, plan)), Axis.order(U32, Shape.dimensions(input), Shape.naturals(axes)),
      permutation_dimensions_order(input, axes, plan)), AxisAlgebra.permutation_rank(input, axes, permutation_checked(input, axes, plan)))

Uses (15):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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_algebra.bend&name=permutation_rank
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=order
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=output
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&name=permutation_checked
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&name=permutation_dimensions_order