def is_zero_value

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/w64add.bend:167

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/w64.bend as SW
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend as LW

167def is_zero_value(+a: WU.U64) -> SW.IsZero.value(a):
168  match a:
169    case WU.U64{+l, +h}:
170      Equal.trans(Bool, Bool.and(U32.is_zero(l), U32.is_zero(h)), Bool.and(Nat.is_eq(v(l), 0n), Nat.is_eq(v(h), 0n)), Nat.is_eq(val(l, h), 0n), Equal.trans(Bool, Bool.and(U32.is_zero(l), U32.is_zero(h)), Bool.and(Nat.is_eq(v(l), 0n), U32.is_zero(h)), Bool.and(Nat.is_eq(v(l), 0n), Nat.is_eq(v(h), 0n)), Equal.cong(Bool, Bool, t => Bool.and(t, U32.is_zero(h)), U32.is_zero(l), Nat.is_eq(v(l), 0n), LW.zero_nat(l)), Equal.cong(Bool, Bool, t => Bool.and(Nat.is_eq(v(l), 0n), t), U32.is_zero(h), Nat.is_eq(v(h), 0n), LW.zero_nat(h))), iz_n(v(l), v(h)))