src/HOL/Rat.thy

 lemma One_rat_def: "1 = Fract 1 1"
   by transfer simp
 
 lift_definition plus_rat :: "rat \<Rightarrow> rat \<Rightarrow> rat"
   is "\<lambda>x y. (fst x * snd y + fst y * snd x, snd x * snd y)"
-  by (clarsimp, simp add: left_distrib, simp add: mult_ac)
+  by (clarsimp, simp add: distrib_right, simp add: mult_ac)
 
 lemma add_rat [simp]:
   assumes "b \<noteq> 0" and "d \<noteq> 0"
   shows "Fract a b + Fract c d = Fract (a * d + c * b) (b * d)"
   using assms by transfer simp

     (* not needed because x < (y::nat) can be rewritten as Suc x <= y: of_nat_less_iff RS iffD2 *)
   #> Lin_Arith.add_inj_thms [@{thm of_int_le_iff} RS iffD2, @{thm of_int_eq_iff} RS iffD2]
     (* not needed because x < (y::int) can be rewritten as x + 1 <= y: of_int_less_iff RS iffD2 *)
   #> Lin_Arith.add_simps [@{thm neg_less_iff_less},
       @{thm True_implies_equals},
-      read_instantiate @{context} [(("a", 0), "(numeral ?v)")] @{thm right_distrib},
-      read_instantiate @{context} [(("a", 0), "(neg_numeral ?v)")] @{thm right_distrib},
+      read_instantiate @{context} [(("a", 0), "(numeral ?v)")] @{thm distrib_left},
+      read_instantiate @{context} [(("a", 0), "(neg_numeral ?v)")] @{thm distrib_left},
       @{thm divide_1}, @{thm divide_zero_left},
       @{thm times_divide_eq_right}, @{thm times_divide_eq_left},
       @{thm minus_divide_left} RS sym, @{thm minus_divide_right} RS sym,
       @{thm of_int_minus}, @{thm of_int_diff},
       @{thm of_int_of_nat_eq}]