SgdLAWS.sgd_refusal_unknown: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/sgd_LAWS.bend as SgdLAWS
Lines 151-158 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=151&end_line=158

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/sgd.bend as Sgd

# An id the tape does not hold, the number of its nodes or more, is refused
# with UnknownNode.
law sgd_refusal_unknown:
  for nodes: List<&2, Backward.Node>
  for +extra: Nat
  {Sgd.refusal_at(nodes, List.length(&2, Backward.Node, nodes), Nat.add(List.length(&2, Backward.Node, nodes), extra),
      Backward.at_head(List.length(&2, Backward.Node, nodes), Nat.add(List.length(&2, Backward.Node, nodes), extra))) ==
    Some{Sgd.UnknownNode{}} : Maybe<&2, Sgd.Error>}

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Nat.add
  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=refusal_at
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/sgd_PROOF.bend&name=ne_succ
  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=at_head
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend&name=add_succ