KernelGemmCertificate.reduced: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend as KernelGemmCertificate
Lines 113-122 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=113&end_line=122

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/traversal_loop.bend as Loop
import stelliferous@0.0.2.0/proofs/storage_witness.bend as Witness
import stelliferous@0.0.2.0/proofs/loop_projection.bend as Projection
import stelliferous@0.0.2.0/proofs/kernel_read_witness.bend as ReadWitness

def reduced(~upper: Bool,+depth: Nat,+count: Nat,-input: Array<Tile.Tile8>,-weights: Array<Tile.Tile8>,-bias: Array<F32>,-output: Array<F32>,-state: Gemm.Loop,
  +input_evidence: Witness.ArrayWitness<Tile.Tile8,input>,+weight_evidence: Witness.ArrayWitness<Tile.Tile8,weights>,
  +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,Loop.run_then(~Gemm.Loop,~Gemm.Buffers,~Gemm.step(~upper),~Gemm.finish,count,state)>:
  %Equal.sym(Gemm.Buffers,Loop.run_then(~Gemm.Loop,~Gemm.Buffers,~Gemm.step(~upper),~Gemm.finish,count,state),
    Gemm.finish(Loop.run(~Gemm.Loop,~Gemm.step(~upper),count,state)),
    Projection.run_then_finishes(~Gemm.Loop,~Gemm.Buffers,~Gemm.step(~upper),~Gemm.finish,count,state)) :
    Evidence<input,weights,bias,depth,_>
  finished(depth,input,weights,bias,output,Loop.run(~Gemm.Loop,~Gemm.step(~upper),count,state),bias_evidence,balanced,
    ReadWitness.run(~upper,count,input,weights,bias,output,state,input_evidence,weight_evidence,evidence))

Uses (19):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Buffers
  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=step
  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=finished
  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/kernel_read_witness.bend&name=run
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/loop_projection.bend&name=run_then_finishes
  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
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_loop.bend&name=run
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/traversal_loop.bend&name=run_then