TensorChainPROOF.fired_run: 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 351-372 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=351&end_line=372

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 fired_run(+node: Backward.Node, +shape: Shape.Shape, -value: Core.Dynamic, -saved: Backward.Saved, -slot: Gradient.Slot,
  -rest: List<&1, Backward.Entry>, -g: Core.Dynamic, -more: List<&1, Gradient.Slot>, +below: Nat, -slots: List<&1, Gradient.Slot>,
  -log: Laws.Log(), -w: Gradient.Slot, -older: List<&1, Gradient.Slot>, -left: Laws.Log(),
  at: {slots == w <> older : List<&1, Gradient.Slot>}, took: {Laws.take(log, below, w) == (Done{Gradient.Held{g}}, left) : Laws.Taken()},
  out: Fired<node, shape, value, slot, rest, more, below, older, left, Backward.vjp(node, saved, g)>) ->
  Run<Backward.Entry{node, shape, value, saved, slot} <> rest, Gradient.Held{g} <> more, 1n+below, slots, log>:
  match out:
    case FiredKept{done, gradients, swept, pulled}:
      Kept{done, gradients, swept,
        Equal.trans(Laws.Slots(), Laws.chained(Backward.Entry{node, shape, value, saved, slot} <> rest, slots, 1n+below, log),
          Laws.chained(Backward.Entry{node, shape, value, saved, slot} <> rest, w <> older, 1n+below, log),
          Done{gradients},
          Equal.cong(List<&1, Gradient.Slot>, Laws.Slots(),
            list => Laws.chained(Backward.Entry{node, shape, value, saved, slot} <> rest, list, 1n+below, log), slots, w <> older, at),
          Equal.trans(Laws.Slots(), Laws.reached(node, saved, Laws.take(log, below, w), next => Laws.chained(rest, older, below, next)),
            Laws.reached(node, saved, (Done{Gradient.Held{g}}, left), next => Laws.chained(rest, older, below, next)),
            Done{gradients},
            Equal.cong(Laws.Taken(), Laws.Slots(), taken => Laws.reached(node, saved, taken, next => Laws.chained(rest, older, below, next)),
              Laws.take(log, below, w), (Done{Gradient.Held{g}}, left), took),
            pulled))}
    case FiredStopped{done, error, swept}:
      Stopped{done, error, swept}

Uses (21):
  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=Base/base.bend&name=Sigma
  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=Entry
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=Node
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=Saved
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=vjp
  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_LAWS.bend&name=Taken
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=chained
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=reached
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=take
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend&name=Fired
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend&name=Run
  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