ElementwisePROOF.planned_output_dimensions: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend as ElementwisePROOF
Lines 519-532 of bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&start_line=519&end_line=532

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend as Unique

def planned_output_dimensions(+left: Shape.Shape, +right: Shape.Shape, +plan: Shape.BroadcastPlan, +output: List<&2, U32>,
  +alignment: Shape.Broadcast<Shape.extents(left), Shape.extents(right), Shape.naturals(output)>,
  +sources: {(Shape.dimensions(Shape.left_shape(plan)), Shape.dimensions(Shape.right_shape(plan))) ==
    (Shape.dimensions(left), Shape.dimensions(right)) : List<&2, U32> & List<&2, U32>}) ->
  {Shape.dimensions(Shape.output_shape(plan)) == output : List<&2, U32>}:
  natural_dimensions_equal(Shape.dimensions(Shape.output_shape(plan)), output,
    Unique.broadcast_unique(Shape.extents(left), Shape.extents(right), Shape.extents(Shape.output_shape(plan)), Shape.naturals(output),
      %Equal.cong(List<&2, U32> & List<&2, U32>, List<&2, Nat>, pair => Shape.naturals(Pair.fst(List<&2, U32>, List<&2, U32>, pair)),
        (Shape.dimensions(Shape.left_shape(plan)), Shape.dimensions(Shape.right_shape(plan))), (Shape.dimensions(left), Shape.dimensions(right)), sources) :
        Shape.Broadcast<_, Shape.extents(right), Shape.extents(Shape.output_shape(plan))>
      %Equal.cong(List<&2, U32> & List<&2, U32>, List<&2, Nat>, pair => Shape.naturals(Pair.snd(List<&2, U32>, List<&2, U32>, pair)),
        (Shape.dimensions(Shape.left_shape(plan)), Shape.dimensions(Shape.right_shape(plan))), (Shape.dimensions(left), Shape.dimensions(right)), sources) :
        Shape.Broadcast<Shape.extents(Shape.left_shape(plan)), _, Shape.extents(Shape.output_shape(plan))>
      Shape.alignment(plan), alignment))

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair.fst
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair.snd
  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=Broadcast
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  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=alignment
  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=extents
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=left_shape
  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=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=right_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend&name=broadcast_unique
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=natural_dimensions_equal