Inductive max_int_spec (i0 i1 : Int) : Set :=
    Max_Int_Intro :
      forall j : Int,
      Less i0 j \/ Equal i0 j ->
      Less i1 j \/ Equal i1 j -> max_int_spec i0 i1.Inductive max_int_spec (i0 i1 : Int) : Set :=
    Max_Int_Intro :
      forall j : Int,
      Less i0 j \/ Equal i0 j ->
      Less i1 j \/ Equal i1 j -> max_int_spec i0 i1.

Lemma max_int : forall i0 i1 : Int, max_int_spec i0 i1.