TransformPROOF.loop_after_natural: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 942-961 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=942&end_line=961

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_after_natural(+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)>,
  -prefix: Transforms.Prefix<input, axes, plan, original, before_source, before_target, cursor>,
  certificate: Transforms.NaturalCertificate<input, axes, plan, cursor, before_source, before_target>,
  rec: @source: Core.Tensor<input> -> @target: Core.Tensor<Layout.output(input, axes, plan)> ->
    @-prefix: Transforms.Prefix<input, axes, plan, original, source, target, 1n+cursor> ->
      Transforms.LoopCertificate<input, axes, plan, original, fuel, 1n+cursor, source, target>) ->
  Transforms.LoopCertificate<input, axes, plan, original, 1n+fuel, cursor, before_source, before_target>:
  Transforms.NaturalCertificate{result, exact, meaning} = certificate
  match result:
    case Transforms.NaturalError{source}:
      Transforms.LoopCertificate{(source, Fail{Transforms.LayoutError{Layout.MappingError{}}}),
        Equal.cong(Transforms.NaturalCopy<input, axes, plan, cursor>,
          Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>,
          step => Transforms.natural_next(input, axes, plan, cursor,
            source => target => Transforms.copy_loop(fuel, input, axes, plan, source, target, 1n+cursor), step),
          Transforms.NaturalError{source}, Transforms.natural_step(input, axes, plan, cursor, before_source, before_target), exact), Unit{}}
    case Transforms.NaturalCopied{pair, index, converted, candidate}:
      loop_after_pair(fuel, input, axes, plan, cursor, original, before_source, before_target, index, converted, candidate, prefix,
        pair, exact, meaning, rec)

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=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=Unit
  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=Error
  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=loop_after_pair
  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=NaturalCertificate
  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=Prefix
  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