F64fmod.fin: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend as F64fmod
Lines 315-318 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend&start_line=315&end_line=318

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/src/math/f64.bend as F
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64cmp.bend as FC

def fin(+x: F.F64, +hn: {SF.is_nan(x) == False{} : Bool}, +hi: {SF.is_inf(x) == False{} : Bool}) -> {Nat.is_lt(SF.efield(x), 2047n) == True{} : Bool}:
  match x:
    case F.Bits{+xl, +xh}:
      FC.lt2047(xl, xh, hi, hn)

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64cmp.bend&name=lt2047
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=efield
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=is_inf
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=is_nan
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=F64