--- a/src/HOL/Nominal/Examples/Type_Preservation.thy Mon Jun 07 17:52:30 2010 +0200
+++ b/src/HOL/Nominal/Examples/Type_Preservation.thy Mon Jun 07 17:53:02 2010 +0200
@@ -141,11 +141,11 @@
and b: "\<Gamma> \<turnstile> e' : T'"
shows "(\<Delta>@\<Gamma>) \<turnstile> e[x::=e'] : T"
using a b
-proof (nominal_induct \<Gamma>'\<equiv>"\<Delta>@[(x,T')]@\<Gamma>" e T avoiding: x e' \<Delta> rule: typing.strong_induct)
+proof (nominal_induct "\<Delta>@[(x,T')]@\<Gamma>" e T avoiding: x e' \<Delta> rule: typing.strong_induct)
case (t_Var y T x e' \<Delta>)
then have a1: "valid (\<Delta>@[(x,T')]@\<Gamma>)"
and a2: "(y,T) \<in> set (\<Delta>@[(x,T')]@\<Gamma>)"
- and a3: "\<Gamma> \<turnstile> e' : T'" by simp_all
+ and a3: "\<Gamma> \<turnstile> e' : T'" .
from a1 have a4: "valid (\<Delta>@\<Gamma>)" by (rule valid_insert)
{ assume eq: "x=y"
from a1 a2 have "T=T'" using eq by (auto intro: context_unique)