ProofValue.wv.gcmp: def of bend-osdev-word64@0.1.1.0
Import: import bend-osdev-word64@0.1.1.0/proof_value.bend as ProofValue
Lines 340-343 of bend-osdev-word64@0.1.1.0/proof_value.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&start_line=340&end_line=343

import Base
import bend-osdev-u32@0.1.0.0/LAWS.bend as UL

def wv.gcmp(+n: Nat, +ah: Word(n), +al: Word(n), +bh: Word(n), +bl: Word(n)) -> {wv.lex(Word.cmp(n, ah, bh), Word.cmp(n, al, bl)) == Nat.cmp(wv.V(n, ah, al), wv.V(n, bh, bl)) : Cmp}:
  %Equal.sym(Cmp, Word.cmp(n, ah, bh), Nat.cmp(Word.to_nat(n, ah), Word.to_nat(n, bh)), UL.word_cmp_value(n, ah, bh)) : {wv.lex(_, Word.cmp(n, al, bl)) == Nat.cmp(wv.V(n, ah, al), wv.V(n, bh, bl)) : Cmp}
  %Equal.sym(Cmp, Word.cmp(n, al, bl), Nat.cmp(Word.to_nat(n, al), Word.to_nat(n, bl)), UL.word_cmp_value(n, al, bl)) : {wv.lex(Nat.cmp(Word.to_nat(n, ah), Word.to_nat(n, bh)), _) == Nat.cmp(wv.V(n, ah, al), wv.V(n, bh, bl)) : Cmp}
  wv.ncmp(n, Word.to_nat(n, ah), Word.to_nat(n, bh), Word.to_nat(n, al), Word.to_nat(n, bl), UL.word_value_lt(n, al), UL.word_value_lt(n, bl))

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  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=Nat.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=word_cmp_value
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=word_value_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&name=wv.V
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&name=wv.lex
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&name=wv.ncmp