SgdLAWS.sgd_step_refused: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/sgd_LAWS.bend as SgdLAWS
Lines 195-206 of bendtorch-core@0.1.0.0/src/autograd/sgd_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/sgd_LAWS.bend&start_line=195&end_line=206

import Base
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 TensorBackward
import bendtorch-core@0.1.0.0/src/autograd/sgd.bend as Sgd

# A step with a refused parameter leaves the tape unchanged; with every id
# accepted, a refused learning rate leaves it unchanged too; otherwise the
# step updates the parameters in list order.
law sgd_step_refused:
  for entries: List<&1, Backward.Entry>
  for +lr: F32
  for +params: List<&2, Nat>
  for +error: Sgd.Error
  for refused: {Sgd.refusal(TensorBackward.nodes_of(entries), List.length(&2, Backward.Node, TensorBackward.nodes_of(entries)), params) ==
    Some{error} : Maybe<&2, Sgd.Error>}
  {Sgd.step(Backward.Tape{entries}, lr, params) == (Backward.Tape{entries}, Fail{error}) :
    Backward.Tape & Result<&2, &2, Sgd.Error, Unit>}

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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=Unit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/sgd.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/sgd.bend&name=checked
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/sgd.bend&name=planned
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/sgd.bend&name=refusal
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/sgd.bend&name=step
  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=Tape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_LAWS.bend&name=nodes_of
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend&name=listed_back