ElementwisePROOF.natural_decided_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 349-362 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=349&end_line=362

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

def natural_decided_retains(+operation: Elementwise.Operation, +plan: Shape.BroadcastPlan, +cursor: Nat, +index: U32,
  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(index), cursor)>, state: Elementwise.State<Shape.output_shape(plan)>) ->
  NaturalSources<Shape.output_shape(plan), cursor,
    step_left_owner(Shape.output_shape(plan), Elementwise.Continue{state}), step_right_owner(Shape.output_shape(plan), Elementwise.Continue{state}),
    Elementwise.natural_step_decided(operation, plan, cursor, index, state, decision)>:
  match decision:
    case Shape.BFalse{equal}:
      Elementwise.State{left, right, output} = state
      NaturalSources{property => {==}, property => {==}}
    case Shape.BTrue{equal}:
      natural_result_retains(Shape.output_shape(plan), cursor, index, Lifecycle.natural_equal(U32.to_nat(index), cursor, equal),
        step_left_owner(Shape.output_shape(plan), Elementwise.Continue{state}), step_right_owner(Shape.output_shape(plan), Elementwise.Continue{state}),
        Elementwise.step(operation, plan, index, state),
        step_indices_retains(operation, Shape.output_shape(plan), index, state, Elementwise.input_indices(plan, index)))

Uses (19):
  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=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=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=input_indices
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=natural_step_decided
  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_PROOF.bend&name=NaturalSources
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=natural_result_retains
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=step_indices_retains
  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/lifecycle.bend&name=natural_equal