CorePROOF.independent_loop_mapping: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend as CorePROOF
Lines 1088-1099 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=1088&end_line=1099

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/core_LAWS.bend as Laws

def independent_loop_mapping(+operation: Elementwise.Operation, +plan: Shape.BroadcastPlan,
  left: Core.Dynamic, right: Core.Dynamic, output: Core.Tensor<Shape.output_shape(plan)>) ->
  Laws.IndependentModel<operation, plan, left, right,
    Elementwise.loop(Shape.elements(Shape.output_shape(plan)), operation, plan, 0n, Elementwise.State{left, right, output})>:
  Laws.IndependentModel{
    {\{Elementwise.MappingModel: mapping =>
      {\{Laws.IndependentModel: independent => independent} :
        Laws.IndependentModel<operation, plan, left, right, Elementwise.loop(Shape.elements(Shape.output_shape(plan)), operation, plan, 0n, Elementwise.State{left, right, output})> ->
          Laws.IndependentMapping(operation, plan, left, right, Elementwise.loop(Shape.elements(Shape.output_shape(plan)), operation, plan, 0n, Elementwise.State{left, right, output}))}(independent_pair_mapping(operation, plan, left, right,
            Elementwise.loop(Shape.elements(Shape.output_shape(plan)), operation, plan, 0n, Elementwise.State{left, right, output}), mapping))
    } : Elementwise.MappingModel<operation, plan, left, right, Elementwise.loop(Shape.elements(Shape.output_shape(plan)), operation, plan, 0n, Elementwise.State{left, right, output})> ->
      Laws.IndependentMapping(operation, plan, left, right, Elementwise.loop(Shape.elements(Shape.output_shape(plan)), operation, plan, 0n, Elementwise.State{left, right, output}))}(successful_cached_loop_mapping(operation, plan, left, right, output))}

Uses (13):
  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=elements
  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/core.bend&name=Dynamic
  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/core_LAWS.bend&name=IndependentMapping
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core_LAWS.bend&name=IndependentModel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend&name=independent_pair_mapping
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend&name=successful_cached_loop_mapping
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=MappingModel
  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=loop