def big_nz

bend-collections-laws-math@1.0.0.0 · proofs/math/typed/f64conv.bend:143

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/proofs/lib/logic.bend as L
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64tools.bend as T

143def big_nz(+x: F.F64, +h: {Nat.is_le(3000n, F.dexp(x)) == True{} : Bool}) -> {Nat.is_eq(SW.value(F.dmant(x)), 0n) == False{} : Bool}:
144  L.subst(Nat, t => {Nat.is_eq(t, 0n) == False{} : Bool}, SF.mant(x), SW.value(F.dmant(x)), Equal.sym(Nat, SW.value(F.dmant(x)), SF.mant(x), T.dmant_value(x)), bnz_c(x, Nat.is_eq(F.exp_field(x), 0n), {==}, h))