TransformPROOF.transpose_decided_permutation: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 2361-2373 of bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&start_line=2361&end_line=2373

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/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/transforms.bend as Transforms
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
import bendtorch-core@0.1.0.0/src/tensor/transpose_spec.bend as TransposeSpec

def transpose_decided_permutation(+input: Shape.Shape, +a: U32, +b: U32,
  decision: Shape.BoolCase<TransposeSpec.valid(input, a, b)>, source: Core.Tensor<input>,
  +inside: {True{} == TransposeSpec.valid(input, a, b) : Bool}) ->
  {Transforms.transpose_decided(input, source, a, b, decision) == Transforms.permute_copy(input, source, Layout.transpose_axes(Shape.dimensions(input), a, b, 0)) :
    Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Dynamic>}:
  match decision:
    case Shape.BFalse{equal}:
      Empty.absurd({(source, Fail{Transforms.LayoutError{Layout.AxisOutOfBounds{}}}) ==
        Transforms.permute_copy(input, source, Layout.transpose_axes(Shape.dimensions(input), a, b, 0)) : Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Dynamic>},
          Arith.clash(Equal.trans(Bool, False{}, TransposeSpec.valid(input, a, b), True{}, equal,
            Equal.sym(Bool, True{}, TransposeSpec.valid(input, a, b), inside))))
    case Shape.BTrue{equal}:
      {==}

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  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=BoolCase
  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/storage/arith.bend&name=clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Error
  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/transforms.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=permute_copy
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=transpose_decided
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_spec.bend&name=valid