TraversalCertificate.map_equation: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/traversal_certificate.bend as TraversalCertificate
Lines 27-35 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=27&end_line=35

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 map_equation(~Element: Data,~Context: Data,~map: Context -> Element -> Element,count: Nat,position: U32,context: Context,
  -output: Array<Element>,+depth: Nat,
  equation: {output == Tree.pack(Element,Certificate.normalized(Element,depth,Tree.reflect(Element,output))) : Array<Element>}) ->
  {Traversal.map_in_place(~Element,~Context,~map,count,position,context,output) ==
    Tree.pack(Element,Certificate.normalized(Element,depth,Tree.reflect(Element,Traversal.map_in_place(~Element,~Context,~map,count,position,context,output)))) : Array<Element>}:
  %Certificate.restored(Element,depth,Traversal.map_in_place(~Element,~Context,~map,count,position,context,output),
    TraversalWitness.map_in_place(~Element,~Context,~map,depth,count,position,context,output,Certificate.witness_at(Element,depth,output,equation))) :
    {_ == Tree.pack(Element,Certificate.normalized(Element,depth,Tree.reflect(Element,Traversal.map_in_place(~Element,~Context,~map,count,position,context,output)))) : Array<Element>}
  {==}

Uses (10):
  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=restored
  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=map_in_place
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=map_in_place