TraversalArrayRefinement.update_refines_model: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/traversal_array_refinement.bend as TraversalArrayRefinement
Lines 219-235 of stelliferous@0.0.2.0/proofs/traversal_array_refinement.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/traversal_array_refinement.bend&start_line=219&end_line=235

import Base
import stelliferous@0.0.2.0/traversal_array.bend as Traversal
import stelliferous@0.0.2.0/traversal_loop.bend as Loop
import stelliferous@0.0.2.0/proofs/storage_tree_model.bend as Tree
import stelliferous@0.0.2.0/proofs/loop_projection.bend as Projection

def update_refines_model(~Reader: Type,~Model: Data,~Element: Data,~Sample: Data,~Context: Data,
  ~pack_reader: Model -> Reader,~read: Reader -> Context -> U32 -> Reader & Sample,
  ~sample: Model -> Context -> U32 -> Sample,~combine: Element -> Sample -> Element,~destination: Context -> U32 -> U32,
  ~read_matches: @+reader: Model -> @+context: Context -> @+position: U32 ->
    {read(pack_reader(reader),context,position) == (pack_reader(reader),sample(reader,context,position)) : Reader & Sample},
  +count: Nat,+state: Traversal.State<&2,&2,Model,Tree.Tree<Element>,Context>) ->
  {Traversal.update(~Reader,~Element,~Sample,~Context,~read,~combine,~destination,count,
      represent(~Reader,~Model,~Element,~Context,~pack_reader,state)) ==
    represent(~Reader,~Model,~Element,~Context,~pack_reader,
      Loop.run(~Traversal.State<&2,&2,Model,Tree.Tree<Element>,Context>,
        ~model_update_step(~Model,~Element,~Sample,~Context,~sample,~combine,~destination),count,state)) :
    Traversal.State<&1,&1,Reader,Array<Element>,Context>}:
  Projection.iteration_refines_model(~Traversal.State<&1,&1,Reader,Array<Element>,Context>,~Traversal.State<&2,&2,Model,Tree.Tree<Element>,Context>,
    ~Traversal.update_step(~Reader,~Element,~Sample,~Context,~read,~combine,~destination),
    ~model_update_step(~Model,~Element,~Sample,~Context,~sample,~combine,~destination),
    ~represent(~Reader,~Model,~Element,~Context,~pack_reader),
    ~update_step_refines_model(~Reader,~Model,~Element,~Sample,~Context,~pack_reader,~read,~sample,~combine,~destination,~read_matches),count,state)

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/loop_projection.bend&name=iteration_refines_model
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_tree_model.bend&name=Tree
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_array_refinement.bend&name=model_update_step
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_array_refinement.bend&name=represent
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_array_refinement.bend&name=update_step_refines_model
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=State
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=update
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=update_step
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_loop.bend&name=run