TraversalWitness.mapped_value: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/traversal_witness.bend as TraversalWitness
Lines 176-185 of stelliferous@0.0.2.0/proofs/traversal_witness.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&start_line=176&end_line=185

import Base
import stelliferous@0.0.2.0/traversal_array.bend as Traversal
import stelliferous@0.0.2.0/proofs/storage_witness.bend as Witness

def mapped_value(~Element: Data,~Context: Data,~map: Context -> Element -> Element,
  +depth: Nat,+position: U32,+context: Context,-output: Array<Element>,-result: Array<Element> & Element,
  output_evidence: Witness.Witness(Element,depth,output),observed: Witness.Read<Element,output,result>) ->
  MapEvidence<Element,Context,depth,Traversal.mapped_value(~Element,~Context,~map,position,context,result)>:
  match observed:
    case Witness.Read{value,equation}:
      %Equal.sym(Array<Element> & Element,result,(output,value),equation) :
        MapEvidence<Element,Context,depth,Traversal.mapped_value(~Element,~Context,~map,position,context,_)>
      MapEvidence{Array.set(Element,output,position,map(context,value)),(position + 1 : U32),context,{==},
        Witness.write(Element,depth,output,position,map(context,value),output_evidence)}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.set
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Base/base.bend&name=U32.add
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=Read
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=Witness
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=write
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=MapEvidence
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=mapped_value