PROOF.ud.hb: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 1808-1809 of bend-osdev-u32@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&start_line=1808&end_line=1809

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

def ud.hb(+bw: Word(32n), h: {U32.is_zero(U32{bw}) == False{} : Bool}) -> {Nat.is_lt(0n, Word.to_nat(32n, bw)) == True{} : Bool}:
  ud.nz(Word.to_nat(32n, bw), Equal.trans(Bool, Nat.is_eq(Word.to_nat(32n, bw), 0n), U32.is_zero(U32{bw}), False{}, Equal.sym(Bool, U32.is_zero(U32{bw}), Nat.is_eq(Word.to_nat(32n, bw), 0n), Laws.u32_eq_value(U32{bw}, 0)), h))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  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_zero
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  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=u32_eq_value
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=ud.nz