ProofValue.wv.ncmp0: def of bend-osdev-word64@0.1.1.0
Import: import bend-osdev-word64@0.1.1.0/proof_value.bend as ProofValue
Lines 309-313 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=309&end_line=313

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

def wv.ncmp0(+n: Nat, +al: Nat, +bl: Nat) -> {Nat.cmp(Nat.add(al, U.U32Nat.dbl(n, 0n)), Nat.add(bl, U.U32Nat.dbl(n, 0n))) == Nat.cmp(al, bl) : Cmp}:
  %Equal.sym(Nat, U.U32Nat.dbl(n, 0n), 0n, UL.dbl_zero(n)) : {Nat.cmp(Nat.add(al, _), Nat.add(bl, _)) == Nat.cmp(al, bl) : Cmp}
  %Equal.sym(Nat, Nat.add(al, 0n), al, UL.nat_add_zero(al)) : {Nat.cmp(_, Nat.add(bl, 0n)) == Nat.cmp(al, bl) : Cmp}
  %Equal.sym(Nat, Nat.add(bl, 0n), bl, UL.nat_add_zero(bl)) : {Nat.cmp(al, _) == Nat.cmp(al, bl) : Cmp}
  {==}

Uses (8):
  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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.cmp
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=dbl_zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=nat_add_zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.dbl