TensorChainPROOF.relay: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend as TensorChainPROOF
Lines 162-171 of bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend&start_line=162&end_line=171

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/gradient.bend as Gradient
import bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend as Backward
import bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend as Laws

def relay(-rest: Laws.Log(), +count: Nat, +target: Nat, +shape: Shape.Shape, -gradient: Core.Dynamic, -pending: List<&1, Gradient.Slot>,
  -slots: List<&1, Gradient.Slot>, -log: Laws.Log(), -state: Laws.Slots(),
  bumped: {state == Backward.bump(pending, count, target, shape, gradient, Backward.at_head(count, target)) : Laws.Slots()},
  out: Delivered<rest, state, count, slots, Backward.Contribution{target, shape, gradient} <> log>) ->
  Delivered<Backward.Contribution{target, shape, gradient} <> rest, Done{pending}, count, slots, log>:
  Delivered{after, delivered, pushed} = out
  Delivered{after, Equal.trans(Laws.Slots(), after, Backward.deliver(rest, count, state),
    Backward.deliver(rest, count, Backward.bump(pending, count, target, shape, gradient, Backward.at_head(count, target))), delivered,
    Equal.cong(Laws.Slots(), Laws.Slots(), result => Backward.deliver(rest, count, result), state,
      Backward.bump(pending, count, target, shape, gradient, Backward.at_head(count, target)), bumped)), pushed}

Uses (15):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=Result
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient.bend&name=Slot
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=Contribution
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=at_head
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=bump
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=deliver
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=Log
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=Slots
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend&name=Delivered
  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