clear this
a b c : ℤω
h : b ≠ 0
bound :
  ↑normSq
      ((OneHom.toFun (↑↑inclusion) a -
          OneHom.toFun (↑↑inclusion) (nearestℤω (OneHom.toFun (↑↑inclusion) a / OneHom.toFun (↑↑inclusion) b)) *
            OneHom.toFun (↑↑inclusion) b) *
        sorryAx ℂ true) <
    1
this :
  OneHom.toFun (↑↑inclusion) a / OneHom.toFun (↑↑inclusion) b -
      OneHom.toFun (↑↑inclusion) (nearestℤω (OneHom.toFun (↑↑inclusion) a / OneHom.toFun (↑↑inclusion) b)) =
    (OneHom.toFun (↑↑inclusion) a -
        OneHom.toFun (↑↑inclusion) (nearestℤω (OneHom.toFun (↑↑inclusion) a / OneHom.toFun (↑↑inclusion) b)) *
          OneHom.toFun (↑↑inclusion) b) *
      sorryAx ℂ true
⊢ ↑normSq (↑inclusion a - ↑inclusion b * ↑inclusion (nearestℤω (↑inclusion a / ↑inclusion b))) < ↑normSq (↑inclusion b)
a b c : ℤω
h : b ≠ 0
bound :
  ↑normSq
      ((OneHom.toFun (↑↑inclusion) a -
          OneHom.toFun (↑↑inclusion) (nearestℤω (OneHom.toFun (↑↑inclusion) a / OneHom.toFun (↑↑inclusion) b)) *
            OneHom.toFun (↑↑inclusion) b) *
        sorryAx ℂ true) <
    1
⊢ ↑normSq (↑inclusion a - ↑inclusion b * ↑inclusion (nearestℤω (↑inclusion a / ↑inclusion b))) < ↑normSq (↑inclusion b)