src/HOL/UNITY/Rename.thy

 (** (rename h) is bijective <=> h is bijective **)
 
 lemma bij_extend: "bij h ==> bij (extend (%(x,u::'c). h x))"
 apply (rule bijI)
 apply (blast intro: Extend.inj_extend)
-apply (rule_tac f = "extend (% (x,u) . inv h x) " in surjI)
-apply (subst inv_inv_eq [of h, symmetric], assumption) 
+apply (rule_tac f = "extend (% (x,u) . inv h x) " in surjI) 
+apply (simplesubst inv_inv_eq [of h, symmetric], assumption) 
 apply (subst extend_inv, simp add: bij_imp_bij_inv) 
 apply (simp add: inv_inv_eq) 
 apply (rule Extend.extend_inverse) 
 apply (simp add: bij_imp_bij_inv) 
 done