AxisAlgebra.valid: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 137-143 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=137&end_line=143

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 valid(+shape: Shape.Shape, +axes: List<&2, U32>, accepted: {True{} == Layout.bijective(shape, axes) : Bool}) ->
  {True{} == Axis.valid(Shape.rank_dimensions(Shape.dimensions(shape)), Shape.naturals(axes)) : Bool}:
  %Shape.rank_naturals(axes) : {True{} == Bool.and(Nat.is_eq(_, Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(Axis.bounded(Shape.naturals(axes), Shape.rank_dimensions(Shape.dimensions(shape))), Axis.unique(Shape.naturals(axes)))) : Bool}
  %unique(axes) : {True{} == Bool.and(Nat.is_eq(Shape.rank_dimensions(axes), Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(Axis.bounded(Shape.naturals(axes), Shape.rank_dimensions(Shape.dimensions(shape))), _)) : Bool}
  %rank_exact(shape) : {True{} == Bool.and(Nat.is_eq(Shape.rank_dimensions(axes), Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(Axis.bounded(Shape.naturals(axes), _), Layout.unique(axes))) : Bool}
  %bounded(axes, Shape.rank(shape)) : {True{} == Bool.and(Nat.is_eq(Shape.rank_dimensions(axes), Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(_, Layout.unique(axes))) : Bool}
  accepted

Uses (19):
  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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  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
  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/shape/core.bend&name=rank_naturals
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=bounded
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=rank_exact
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=unique
  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/axis_spec.bend&name=unique
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=valid
  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=unique