def tuint_v

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64conv.bend:53

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/f64.bend as SF
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/f64.bend as F
import bend-collections-laws-math@1.0.0.0/src/math/w64.bend as X
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU
import bend-collections-laws-math@1.0.0.0/src/math/num.bend as NE
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64add.bend as WA

53def tuint_v(+s: Bool, +w: WU.U64) -> {SF.rv64(F.tu_int(s, w)) == TS(s, SW.value(w)) : Result<&2, &2, NE.NumError, Nat>}:
54  +e1 = Equal.cong(Bool, Result<&2, &2, NE.NumError, Nat>, b => SF.rv64(F.tu_neg(w, Bool.and(s, Bool.not(b)))), X.is_zero(w), Nat.is_eq(SW.value(w), 0n), WA.is_zero_value(w))
55  Equal.trans(Result<&2, &2, NE.NumError, Nat>, SF.rv64(F.tu_int(s, w)), SF.rv64(F.tu_neg(w, Bool.and(s, Bool.not(Nat.is_eq(SW.value(w), 0n))))), TS(s, SW.value(w)), e1, tn(w, Bool.and(s, Bool.not(Nat.is_eq(SW.value(w), 0n)))))