TensorBackwardPROOF.sum_contract: 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 457-464 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=457&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/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

# A successful broadcast_to hands its output to the Sum VJP's one
# contribution unchanged.
def sum_contract(+a: Nat, +input: Shape.Shape, -shape: Shape.Shape, -cell: Nat -> F32, -word: U32 -> F32,
  pair: Core.Dynamic & Result<&2, &1, Broadcast.Error, Core.Dynamic>,
  contract: BroadcastPointwise.BroadcastToContract<input, shape, cell, word, pair>) ->
  Laws.SoleContract<a, input, cell, Backward.expanded(a, input, pair)>:
  (owner, result) = pair
  sum_result(a, input, shape, cell, word, owner, result, contract)

Uses (13):
  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=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/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=sum_result
  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