PROOF.log_elt: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 1869-1870 of bend-osdev-gf@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&start_line=1869&end_line=1870

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

def log_elt(+f: G.Gf8Field, +a: U32) -> {G.Gf8.log(f, a) == G.Gf8.log(f, G.Gf8.elt(a)) : Nat}:
  Equal.cong(G.Gf8Bits, Nat, +z => G.Gf8.log.go(254n, U32.is_eq(1, G.Gf8Bits.to(z)), f, G.Gf8Bits.to(z), 1, 0n), G.Gf8Bits.of(a), G.Gf8Bits.of(G.Gf8Bits.to(G.Gf8Bits.of(a))), Equal.sym(G.Gf8Bits, G.Gf8Bits.of(G.Gf8Bits.to(G.Gf8Bits.of(a))), G.Gf8Bits.of(a), ot(G.Gf8Bits.of(a))))

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&name=ot
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.elt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.log
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.log.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Bits.to
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8Field