X_SKOLEM_CONV
Conv.X_SKOLEM_CONV : (term -> conv)
Introduces a user-supplied Skolem function.
X_SKOLEM_CONV
takes two arguments. The first is a
variable f
, which must range over functions of the
appropriate type, and the second is a term of the form
!x1...xn. ?y. P
. Given these arguments,
X_SKOLEM_CONV
returns the theorem:
|- (!x1...xn. ?y. P) = (?f. !x1...xn. tm[f x1 ... xn/y])
which expresses the fact that a skolem function f
of the
universally quantified variables x1...xn
may be introduced
in place of the the existentially quantified value y
.
X_SKOLEM_CONV f tm
fails if f
is not a
variable, or if the input term tm
is not a term of the form
!x1...xn. ?y. P
, or if the variable f
is free
in tm
, or if the type of f
does not match its
intended use as an n
-place curried function from the
variables x1...xn
to a value having the same type as
y
.