CorePROOF.converted_step_certificate: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend as CorePROOF
Lines 634-649 of bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend&start_line=634&end_line=649

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/elementwise.bend as Elementwise

def converted_step_certificate(+operation: Elementwise.Operation, +plan: Shape.BroadcastPlan, +cursor: Nat, +index: U32,
  +equal: {True{} == Nat.is_eq(U32.to_nat(index), cursor) : Bool}, -original: Elementwise.State<Shape.output_shape(plan)>,
  certificate: Elementwise.StepCertificate<operation, plan, index, original>) ->
  Elementwise.ConvertedCertificate<operation, plan, cursor, index, Shape.BTrue{equal}, original>:
  Elementwise.StepCertificate{result, exact, meaning} = certificate
  match result:
    case Elementwise.Stop{left, right, error}:
      Elementwise.ConvertedCertificate{Elementwise.NaturalStop{left, right, error},
        Equal.cong(Elementwise.Step<Shape.output_shape(plan)>, Elementwise.NaturalStep<Shape.output_shape(plan), cursor>,
          step => Elementwise.natural_step_result(Shape.output_shape(plan), cursor, index, Lifecycle.natural_equal(U32.to_nat(index), cursor, equal), step),
          Elementwise.Stop{left, right, error}, Elementwise.step(operation, plan, index, original), exact), Unit{}}
    case Elementwise.Continue{state}:
      Elementwise.ConvertedCertificate{Elementwise.NaturalContinue{state, index, Lifecycle.natural_equal(U32.to_nat(index), cursor, equal)},
        Equal.cong(Elementwise.Step<Shape.output_shape(plan)>, Elementwise.NaturalStep<Shape.output_shape(plan), cursor>,
          step => Elementwise.natural_step_result(Shape.output_shape(plan), cursor, index, Lifecycle.natural_equal(U32.to_nat(index), cursor, equal), step),
          Elementwise.Continue{state}, Elementwise.step(operation, plan, index, original), exact), meaning}

Uses (19):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  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=Base/base.bend&name=Unit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BoolCase
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=ConvertedCertificate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=NaturalStep
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=Operation
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=State
  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=StepCertificate
  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.bend&name=step
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=natural_equal