PROOF.ap.m9b: def of bend-osdev-aes@0.1.0.0
Import: import bend-osdev-aes@0.1.0.0/PROOF.bend as PROOF
Lines 1625-1629 of bend-osdev-aes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&start_line=1625&end_line=1629

import Base
import bend-osdev-aes@0.1.0.0/aes.bend as X
import bend-osdev-gf@0.1.1.0/gf.bend as G

def ap.m9b(+x: U32) -> {X.aes.m9(U32.and(255, x)) == G.Gf8.mul(G.Gf8.aes(), 9, U32.and(255, x)) : U32}:
  match x:
    case U32{WCon{c0, WCon{c1, WCon{c2, WCon{c3, WCon{c4, WCon{c5, WCon{c6, WCon{c7, WCon{c8, WCon{c9, WCon{c10, WCon{c11, WCon{c12, WCon{c13, WCon{c14, WCon{c15, WCon{c16, WCon{c17, WCon{c18, WCon{c19, WCon{c20, WCon{c21, WCon{c22, WCon{c23, WCon{c24, WCon{c25, WCon{c26, WCon{c27, WCon{c28, WCon{c29, WCon{c30, WCon{c31, WNil{}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}:
      %ap.bridge(c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31) : {X.aes.m9(_) == G.Gf8.mul(G.Gf8.aes(), 9, _) : U32}
      ap.pick(2n, ap.ex2.l(U32{WCon{c0, WCon{c1, WCon{c2, WCon{c3, WCon{c4, WCon{c5, WCon{c6, WCon{c7, Word.zero(24n)}}}}}}}}}), ap.ex2.r(U32{WCon{c0, WCon{c1, WCon{c2, WCon{c3, WCon{c4, WCon{c5, WCon{c6, WCon{c7, Word.zero(24n)}}}}}}}}}), ap.ex2(c0, c1, c2, c3, c4, c5, c6, c7))

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Nil
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.bridge
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.ex2
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.ex2.l
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.ex2.r
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.pick
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/aes.bend&name=aes.m9
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.aes
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.mul