ReducePROOF.planned_success: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend as ReducePROOF
Lines 452-464 of bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend&start_line=452&end_line=464

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/LAWS.bend as ShapeLaws
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout
import bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend as ElementwiseProof
import bendtorch-core@0.1.0.0/src/autograd/reduce.bend as Reduce
import bendtorch-core@0.1.0.0/src/autograd/reduce_LAWS.bend as Laws

def planned_success(+shape: Shape.Shape, tensor: Core.Tensor<shape>, +target: Shape.Shape,
  result: Result<&2, &2, Shape.Error, Shape.BroadcastPlan>,
  -sources: {ShapeLaws.planned_dimensions(target, shape, result) == (Shape.dimensions(target), Shape.dimensions(shape)) : List<&2, U32> & List<&2, U32>},
  -built: {ShapeLaws.broadcast_built(result) == True{} : Bool},
  -alignment: Shape.Broadcast<Shape.extents(target), Shape.extents(shape), Shape.extents(shape)>) ->
  Laws.Success<Reduce.planned(shape, tensor, target, result)>:
  match result:
    case Fail{error}:
      Laws.Success{Empty.absurd({False{} == True{} : Bool}, Arith.clash(built))}
    case Done{+plan}:
      fitted_success(shape, tensor, target, plan,
        Layout.words_same(Shape.dimensions(Shape.output_shape(plan)), Shape.dimensions(shape)), {==},
        ElementwiseProof.planned_output_dimensions(target, shape, plan, Shape.dimensions(shape), alignment, sources))

Uses (23):
  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=List
  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/autograd/reduce.bend&name=planned
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_LAWS.bend&name=Success
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend&name=fitted_success
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/LAWS.bend&name=broadcast_built
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/LAWS.bend&name=planned_dimensions
  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=Error
  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=extents
  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/storage/arith.bend&name=clash
  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/elementwise_PROOF.bend&name=planned_output_dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=words_same