KernelGemmCertificate.finished: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend as KernelGemmCertificate
Lines 103-111 of stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend&start_line=103&end_line=111

import Base
import stelliferous@0.0.2.0/kernel_gemm.bend as Gemm
import stelliferous@0.0.2.0/kernel_tile.bend as Tile
import stelliferous@0.0.2.0/proofs/storage_witness.bend as Witness
import stelliferous@0.0.2.0/proofs/kernel_read_witness.bend as ReadWitness

# The final step stores into the owners the loop returned unchanged.
def finished(+depth: Nat,-input: Array<Tile.Tile8>,-weights: Array<Tile.Tile8>,-bias: Array<F32>,-output: Array<F32>,-state: Gemm.Loop,
  +bias_evidence: Witness.ArrayWitness<F32,bias>,balanced: Witness.Witness(F32,depth,output),
  evidence: ReadWitness.Looped<input,weights,bias,output,state>) -> Evidence<input,weights,bias,depth,Gemm.finish(state)>:
  ReadWitness.Looped{index,context,accumulators,equation} = evidence
  %Equal.sym(Gemm.Loop,state,Gemm.Loop{input,weights,bias,output,index,context,accumulators},equation) :
    Evidence<input,weights,bias,depth,Gemm.finish(_)>
  after_write(input,weights,bias,depth,Gemm.write(context,accumulators,bias,output),
    write(depth,context,accumulators,bias,output,bias_evidence,balanced))

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=Equal.sym
  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=stelliferous@0.0.2.0/kernel_gemm.bend&name=Loop
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_gemm.bend&name=finish
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_gemm.bend&name=write
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_tile.bend&name=Tile8
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend&name=Evidence
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend&name=after_write
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend&name=write
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/kernel_read_witness.bend&name=Looped
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=ArrayWitness
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/storage_witness.bend&name=Witness