TransformPROOF.loop_continue: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 891-911 of bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&start_line=891&end_line=911

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/transforms.bend as Transforms

def loop_continue(+fuel: Nat, +input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>, +cursor: Nat,
  -original: Core.Tensor<input>, -before_source: Core.Tensor<input>, -before_target: Core.Tensor<Layout.output(input, axes, plan)>,
  -after_source: Core.Tensor<input>, -after_target: Core.Tensor<Layout.output(input, axes, plan)>, -index: U32,
  -converted: {U32.to_nat(index) == cursor : Nat}, -candidate: {index == U32.from_nat(cursor) : U32},
  natural_exact: {Transforms.NaturalCopied{(after_source, Done{after_target}), index, converted, candidate} ==
    Transforms.natural_step(input, axes, plan, cursor, before_source, before_target) : Transforms.NaturalCopy<input, axes, plan, cursor>},
  certificate: Transforms.LoopCertificate<input, axes, plan, original, fuel, 1n+cursor, after_source, after_target>) ->
  Transforms.LoopCertificate<input, axes, plan, original, 1n+fuel, cursor, before_source, before_target>:
  Transforms.LoopCertificate{pair, exact, meaning} = certificate
  Transforms.LoopCertificate{pair,
    Equal.trans(Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>, pair,
      Transforms.copy_loop(fuel, input, axes, plan, after_source, after_target, 1n+cursor),
      Transforms.copy_loop(1n+fuel, input, axes, plan, before_source, before_target, cursor), exact,
      Equal.cong(Transforms.NaturalCopy<input, axes, plan, cursor>,
        Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>,
        result => Transforms.natural_next(input, axes, plan, cursor,
          source => target => Transforms.copy_loop(fuel, input, axes, plan, source, target, 1n+cursor), result),
        Transforms.NaturalCopied{(after_source, Done{after_target}), index, converted, candidate},
        Transforms.natural_step(input, axes, plan, cursor, before_source, before_target), natural_exact)),
    %add_successor_right(fuel, cursor) : Transforms.LoopMeaning(input, axes, plan, original, _, pair)
    meaning}

Uses (22):
  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=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=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  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=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=output
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&name=add_successor_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=LoopCertificate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=LoopMeaning
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=NaturalCopy
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=copy_loop
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=natural_next
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=natural_step