TransformPROOF.loop_natural_success: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 1904-1915 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=1904&end_line=1915

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
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
import bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend as Totality

def loop_natural_success(+fuel: Nat, +input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>, +cursor: Nat,
  result: Transforms.NaturalCopy<input, axes, plan, cursor>,
  -successful: {Totality.natural_succeeded(input, axes, plan, cursor, result) == True{} : Bool},
  rec: @source: Core.Tensor<input> -> @target: Core.Tensor<Layout.output(input, axes, plan)> ->
    Totality.CopySuccess<input, axes, plan, Transforms.copy_loop(fuel, input, axes, plan, source, target, 1n+cursor)>) ->
  Totality.CopySuccess<input, axes, plan, Transforms.natural_next(input, axes, plan, cursor,
    source => target => Transforms.copy_loop(fuel, input, axes, plan, source, target, 1n+cursor), result)>:
  match result:
    case Transforms.NaturalError{source}:
      Totality.CopySuccess{Empty.absurd({False{} == True{} : Bool}, Arith.clash(successful))}
    case Transforms.NaturalCopied{pair, index, exact, candidate}:
      loop_pair_success(fuel, input, axes, plan, 1n+cursor, pair, successful, rec)

Uses (16):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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=U32
  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/storage/arith.bend&name=clash
  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=loop_pair_success
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend&name=CopySuccess
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend&name=natural_succeeded
  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