Goal:
    __x3 : BinNums.Z  __x2 : BinNums.Z  __x1 : BinNums.Z
  ============================
   (let __wit := [] in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
             RingMicromega.Fop := RingMicromega.OpLt;
             RingMicromega.Frhs :=
               EnvRing.PEadd
                 (EnvRing.PEadd (EnvRing.PEX (BinNums.xO BinNums.xH))
                    (EnvRing.PEc (BinNums.Zpos BinNums.xH)))
                 (EnvRing.PEX (BinNums.xI BinNums.xH))
           |} tt) None
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
             RingMicromega.Fop := RingMicromega.OpLt;
             RingMicromega.Frhs :=
               EnvRing.PEadd (EnvRing.PEX (BinNums.xO BinNums.xH))
                 (EnvRing.PEadd (EnvRing.PEX (BinNums.xI BinNums.xH))
                    (EnvRing.PEc (BinNums.Zpos BinNums.xH)))
           |} tt) in
    BinInt.Z.lt __x1
      (BinInt.Z.add (BinInt.Z.add __x2 (BinNums.Zpos BinNums.xH)) __x3)
    → BinInt.Z.lt __x1
        (BinInt.Z.add __x2 (BinInt.Z.add __x3 (BinNums.Zpos BinNums.xH))))


DEBUG:Going to execute:
let __varmap := fresh "__varmap" in
           let __ff := fresh "__ff" in
           intros __wit __varmap __ff; exact
            (ZMicromega.ZTautoChecker_sound __ff __wit
               (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
               (VarMap.find BinNums.Z0 __varmap))