TensorIndexedCertificate.preserves: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/tensor_indexed_certificate.bend as TensorIndexedCertificate
Lines 28-37 of stelliferous@0.0.2.0/proofs/tensor_indexed_certificate.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/tensor_indexed_certificate.bend&start_line=28&end_line=37

import Base
import stelliferous@0.0.2.0/tensor_indexed.bend as Indexed
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
import stelliferous@0.0.2.0/proofs/traversal_certificate.bend as TraversalCertificate

def preserves(~Element: Data,~Context: Data,~index: Context -> U32 -> U32,~operation: U32 -> Element -> Element,
  +depth: Nat,call: Indexed.Call<Context>,-input: Array<Element>,-output: Array<Element>,input_certificate: Certificate.Certificate<Element,input>,
  equation: {output == Tree.pack(Element,Certificate.normalized(Element,depth,Tree.reflect(Element,output))) : Array<Element>}) ->
  TraversalWitness.ResultEvidence<Array<Element>,Element,input,depth,Indexed.run(~Element,~Context,~index,~operation,call,input,output)>:
  Indexed.Call{count,context} = call
  TraversalCertificate.completed(~Array<Element>,~Element,~Context,~TraversalWitness.array_evidence(~Element),
    ~Traversal.run(~Array<Element>,~Element,~Context,~Indexed.read(~Element,~Context,~index,~operation),~Indexed.destination(~Context)),
    ~TraversalWitness.run(~Array<Element>,~Element,~Context,~TraversalWitness.array_evidence(~Element),~Indexed.read(~Element,~Context,~index,~operation),
      ~Indexed.destination(~Context),~read(~Element,~Context,~index,~operation)),
    count,0,context,input,output,Certificate.witness(Element,input,input_certificate),depth,equation)

Uses (18):
  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=Certificate
  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
  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/tensor_indexed_certificate.bend&name=read
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_certificate.bend&name=completed
  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=array_evidence
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/traversal_witness.bend&name=run
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_indexed.bend&name=Call
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_indexed.bend&name=destination
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_indexed.bend&name=read
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/tensor_indexed.bend&name=run
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_array.bend&name=run