AxisAlgebra.permutation_rank: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 3060-3065 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=3060&end_line=3065

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 permutation_rank(+shape: Shape.Shape, +axes: List<&2, U32>, accepted: {True{} == Layout.bijective(shape, axes) : Bool}) ->
  {Shape.rank_dimensions(Axis.order(U32, Shape.dimensions(shape), Shape.naturals(axes))) == Shape.rank_dimensions(Shape.dimensions(shape)) : Nat}:
  certificate = facts_lists(U32, Shape.rank_dimensions(Shape.dimensions(shape)), Shape.naturals(axes), Shape.dimensions(shape), word_length(Shape.dimensions(shape)), shape_facts(shape, axes, accepted))
  Equal.trans(Nat, Shape.rank_dimensions(Axis.order(U32, Shape.dimensions(shape), Shape.naturals(axes))), List.length(&2, U32, Axis.order(U32, Shape.dimensions(shape), Shape.naturals(axes))),
    Shape.rank_dimensions(Shape.dimensions(shape)), Equal.sym(Nat, List.length(&2, U32, Axis.order(U32, Shape.dimensions(shape), Shape.naturals(axes))),
      Shape.rank_dimensions(Axis.order(U32, Shape.dimensions(shape), Shape.naturals(axes))), word_length(Axis.order(U32, Shape.dimensions(shape), Shape.naturals(axes)))), ranked(U32, Shape.rank_dimensions(Shape.dimensions(shape)), Shape.naturals(axes), Shape.dimensions(shape), certificate))

Uses (17):
  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=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=List.length
  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=facts_lists
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=ranked
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=shape_facts
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=word_length
  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=bijective