ElementwisePROOF.natural_result_retains: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend as ElementwisePROOF
Lines 336-347 of bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&start_line=336&end_line=347

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/elementwise.bend as Elementwise
import bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend as Totality

def natural_result_retains(-shape: Shape.Shape, -cursor: Nat, -index: U32, -exact: {U32.to_nat(index) == cursor : Nat},
  -left: Core.Dynamic, -right: Core.Dynamic, result: Elementwise.Step<shape>, -sources: StepSources<shape, left, right, result>) ->
  NaturalSources<shape, cursor, left, right, Elementwise.natural_step_result(shape, cursor, index, exact, result)>:
  match result:
    case Elementwise.Stop{retained_left, retained_right, error}:
      NaturalSources{
        {\{StepSources: l => r => l} : StepSources<shape, left, right, Elementwise.Stop{retained_left, retained_right, error}> -> Totality.SameSource(left, retained_left)}(sources),
        {\{StepSources: l => r => r} : StepSources<shape, left, right, Elementwise.Stop{retained_left, retained_right, error}> -> Totality.SameSource(right, retained_right)}(sources)}
    case Elementwise.Continue{state}:
      NaturalSources{
        {\{StepSources: l => r => l} : StepSources<shape, left, right, Elementwise.Continue{state}> -> Totality.SameSource(left, step_left_owner(shape, Elementwise.Continue{state}))}(sources),
        {\{StepSources: l => r => r} : StepSources<shape, left, right, Elementwise.Continue{state}> -> Totality.SameSource(right, step_right_owner(shape, Elementwise.Continue{state}))}(sources)}

Uses (12):
  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=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=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=Step
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=natural_step_result
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=NaturalSources
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=StepSources
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=step_left_owner
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=step_right_owner
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend&name=SameSource