KernelGatherCertificate.equation: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/kernel_gather_certificate.bend as KernelGatherCertificate
Lines 44-51 of stelliferous@0.0.2.0/proofs/kernel_gather_certificate.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/kernel_gather_certificate.bend&start_line=44&end_line=51

import Base
import stelliferous@0.0.2.0/kernel_gather.bend as Gather
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

def equation(+depth: Nat,count: U32,offset: U32,positions: U32,span: U32,-input: Array<F32>,-output: Array<F32>,
  input_certificate: Certificate.Certificate<F32,input>,balanced: {output == Tree.pack(F32,Certificate.normalized(F32,depth,Tree.reflect(F32,output))) : Array<F32>}) ->
  {Gather.gather_block(count,offset,positions,span,input,output) ==
    Tree.pack(F32,Certificate.normalized(F32,depth,Tree.reflect(F32,Gather.gather_block(count,offset,positions,span,input,output)))) : Array<F32>}:
  %Certificate.restored(F32,depth,Gather.gather_block(count,offset,positions,span,input,output),
    block(depth,count,offset,positions,span,input,output,Certificate.witness(F32,input,input_certificate),Certificate.witness_at(F32,depth,output,balanced))) :
    {_ == Tree.pack(F32,Certificate.normalized(F32,depth,Tree.reflect(F32,Gather.gather_block(count,offset,positions,span,input,output)))) : Array<F32>}
  {==}

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=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/kernel_gather.bend&name=gather_block
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/kernel_gather_certificate.bend&name=block
  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=restored
  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_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