Hi Stefan, when considering the prospective predicate equivalent to Id, I concluded that the corresponding pred_set_conv rule should read:
lemma [pred_set_conv]:
"HOL.eq = (\<lambda>x y. (x, y) \<in> Id)"
by (auto simp add: Id_def fun_eq_iff)
However, for obvious reasons (LHS!), this should only be applied from
right to left, not the other way round! Is there a simple way to make
such unidirectional rules possible? If not, it is not desaster.
All the best,
Florian
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