TraversalLanesCertificate.certified: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/traversal_lanes_certificate.bend as TraversalLanesCertificate
Lines 53-59 of stelliferous@0.0.2.0/proofs/traversal_lanes_certificate.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_certificate.bend&start_line=53&end_line=59

import Base
import stelliferous@0.0.2.0/traversal_lanes.bend as Lanes
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/storage_refinement.bend as StorageLaws
import stelliferous@0.0.2.0/proofs/storage_witness.bend as Witness

# On any certified array the map through tiles is the ordered map.
def certified(~Context: Data,~operation: Context -> F32 -> F32,+count: Nat,+position: U32,+context: Context,values: Array<F32>,+depth: Nat,
  equation: {values == Tree.pack(F32,Certificate.normalized(F32,depth,Tree.reflect(F32,values))) : Array<F32>}) ->
  {Lanes.map_when(~Context,~operation,Lanes.covered(depth,position,count),count,position,context,values) ==
    Traversal.map_in_place(~F32,~Context,~operation,count,position,context,values) : Array<F32>}:
  observed(~Context,~operation,count,position,context,values,depth,Witness.balanced(F32,depth,values,Certificate.witness_at(F32,depth,values,equation)),
    StorageLaws.observe(F32,values))

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=F32
  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_refinement.bend&name=observe
  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/storage_witness.bend&name=balanced
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_lanes_certificate.bend&name=observed
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=map_in_place
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_lanes.bend&name=covered
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_lanes.bend&name=map_when