TransposePROOF.AxesFacts: type of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend as TransposePROOF
Lines 26-29 of bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend&start_line=26&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

type AxesFacts<-dims: List<&2, U32>, -a: Nat, -b: Nat> is Data:
  Certified{requested: {Layout.transpose_axes(dims, U32.from_nat(a), U32.from_nat(b), 0) == Transpose.requested_axes(Shape.rank_dimensions(dims), a, b) : List<&2, U32>},
    valid: {True{} == Axis.valid(Shape.rank_dimensions(dims), Shape.naturals(Transpose.requested_axes(Shape.rank_dimensions(dims), a, b))) : Bool},
    inverse: {Axis.inverse_axes(Shape.rank_dimensions(dims), Shape.naturals(Transpose.requested_axes(Shape.rank_dimensions(dims), a, b))) == Shape.naturals(Transpose.requested_axes(Shape.rank_dimensions(dims), a, b)) : List<&2, Nat>}}

Uses (11):
  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=Base/base.bend&name=U32.from_nat
  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/axis_spec.bend&name=valid
  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_spec.bend&name=requested_axes