KernelGemmCertificate.reduce: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/kernel_gemm_certificate.bend as KernelGemmCertificate
Lines 124-134 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=124&end_line=134

import Base
import stelliferous@0.0.2.0/kernel_gemm.bend as Gemm
import stelliferous@0.0.2.0/kernel_rows.bend as Rows
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

def reduce(upper: Bool,+depth: Nat,+count: Nat,-input: Array<Tile.Tile8>,-weights: Array<Tile.Tile8>,-bias: Array<F32>,-output: Array<F32>,+context: Gemm.Context,
  +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<input,weights,bias,depth,Gemm.reduce(upper,count,Gemm.Loop{input,weights,bias,output,0,context,Rows.filled(~Tile.Tile8,Tile.filled(0.0))})>:
  match upper:
    case False{}:
      reduced(~False{},depth,count,input,weights,bias,output,Gemm.Loop{input,weights,bias,output,0,context,Rows.filled(~Tile.Tile8,Tile.filled(0.0))},
        input_evidence,weight_evidence,bias_evidence,balanced,ReadWitness.Looped{0,context,Rows.filled(~Tile.Tile8,Tile.filled(0.0)),{==}})
    case True{}:
      reduced(~True{},depth,count,input,weights,bias,output,Gemm.Loop{input,weights,bias,output,0,context,Rows.filled(~Tile.Tile8,Tile.filled(0.0))},
        input_evidence,weight_evidence,bias_evidence,balanced,ReadWitness.Looped{0,context,Rows.filled(~Tile.Tile8,Tile.filled(0.0)),{==}})

Uses (15):
  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=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=Context
  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=reduce
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/kernel_rows.bend&name=filled
  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/kernel_tile.bend&name=filled
  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=reduced
  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