[isabelle] simp and type variables
Dear Isabelle Users,
Is there a way in Isabelle to specialize the type variables in a
theorem to type expressions using the type variables of a goal context?
And in particular, can this be combined with simp? I have a frequently
arising situation where I have a set of theorems of the form "e1('a) =
e2('a, 'b)" and I wish to rewrite using these. That is, I have
equations where there are more type variables on the right than on the
left (think "True = \<all> x. x = x"). simp will not use the equations
as rewrites. As a result I am forced to use fairly low level reasoning
with ssubst (or at least I seem to be). However, often times, I want to
use a specialization of my equation to "e1(('c,'d)tyc) = e2(('c,'d)tyc,
'c)". This equation would be accepted by simp. But the only way I know
of creating this lemma is by using "lemma" and proving it separately.
But I have many different such specializations, each of which will like
be used only once. This seems to me to be just where you want to use
[of ... ] or the like to inline the specialization into an ongoing
proof. Since I can see no way of doing so, I thought I should ask if I
am missing something.
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