TraversalCertificate.completed: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/traversal_certificate.bend as TraversalCertificate
Lines 14-25 of stelliferous@0.0.2.0/proofs/traversal_certificate.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/traversal_certificate.bend&start_line=14&end_line=25

import Base
import stelliferous@0.0.2.0/traversal_array.bend as Traversal
import stelliferous@0.0.2.0/proofs/storage_tree_model.bend as Tree
import stelliferous@0.0.2.0/proofs/storage_certificate.bend as Certificate
import stelliferous@0.0.2.0/proofs/traversal_witness.bend as TraversalWitness

def completed(~Reader: Type,~Element: Data,~Context: Data,~ReaderEvidence: @-reader: Reader -> Data,
  ~run: Nat -> Traversal.State<&1,&1,Reader,Array<Element>,Context> -> Traversal.State<&1,&1,Reader,Array<Element>,Context>,
  ~preserves: @+depth: Nat -> @count: Nat -> @-reader: Reader -> @-state: Traversal.State<&1,&1,Reader,Array<Element>,Context> ->
    @+reader_evidence: ReaderEvidence(reader) -> TraversalWitness.StateEvidence<Reader,Element,Context,reader,depth,state> ->
    TraversalWitness.StateEvidence<Reader,Element,Context,reader,depth,run(count,state)>,
  count: Nat,position: U32,context: Context,-reader: Reader,-output: Array<Element>,reader_evidence: ReaderEvidence(reader),+depth: Nat,
  equation: {output == Tree.pack(Element,Certificate.normalized(Element,depth,Tree.reflect(Element,output))) : Array<Element>}) ->
  TraversalWitness.ResultEvidence<Reader,Element,reader,depth,
    Traversal.finish(~Reader,~Element,~Context,run(count,Traversal.State{reader,output,position,context}))>:
  TraversalWitness.finish(~Reader,~Element,~Context,reader,depth,run(count,Traversal.State{reader,output,position,context}),
    preserves(depth,count,reader,Traversal.State{reader,output,position,context},reader_evidence,
      TraversalWitness.StateEvidence{output,position,context,{==},Certificate.witness_at(Element,depth,output,equation)}))

Uses (12):
  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=U32
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_certificate.bend&name=normalized
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_certificate.bend&name=witness_at
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_tree_model.bend&name=pack
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_tree_model.bend&name=reflect
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=ResultEvidence
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=StateEvidence
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=finish
  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=finish