TensorBackwardPROOF.sum_result: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend as TensorBackwardPROOF
Lines 445-455 of bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend&start_line=445&end_line=455

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/autograd/broadcast.bend as Broadcast
import bendtorch-core@0.1.0.0/src/autograd/broadcast_pointwise_LAWS.bend as BroadcastPointwise
import bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend as Backward
import bendtorch-core@0.1.0.0/src/autograd/tensor_backward_LAWS.bend as Laws

def sum_result(+a: Nat, +input: Shape.Shape, -shape: Shape.Shape, -cell: Nat -> F32, -word: U32 -> F32, -owner: Core.Dynamic,
  result: Result<&2, &1, Broadcast.Error, Core.Dynamic>,
  contract: BroadcastPointwise.BroadcastToContract<input, shape, cell, word, (owner, result)>) ->
  Laws.SoleContract<a, input, cell, Backward.expanded(a, input, (owner, result))>:
  match result:
    case Fail{error}:
      BroadcastPointwise.BroadcastToContract{successful, dimensions, value, kept} = contract
      Empty.absurd(Laws.SoleContract<a, input, cell, Backward.expanded(a, input, (owner, Fail{error}))>, false_true(successful))
    case Done{Core.Packed{output, tensor}}:
      BroadcastPointwise.BroadcastToContract{successful, dimensions, value, kept} = contract
      Laws.SoleContract{{==}, dimensions, value}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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/broadcast.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/broadcast_pointwise_LAWS.bend&name=BroadcastToContract
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=expanded
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_LAWS.bend&name=SoleContract
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend&name=false_true
  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/tensor/core.bend&name=Dynamic