File: MK_EXISTS.doc

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\DOC MK_EXISTS

\TYPE {MK_EXISTS : (thm -> thm)}

\SYNOPSIS
Existentially quantifies both sides of a universally quantified
equational theorem.

\KEYWORDS
rule, quantifier, existential, equality.

\DESCRIBE
When applied to a theorem {A |- !x. t1 = t2}, the inference rule {MK_EXISTS}
returns the theorem {A |- (?x. t1) = (?x. t2)}.
{
       A |- !x. t1 = t2
   --------------------------  MK_EXISTS
    A |- (?x. t1) = (?x. t2)
}
\FAILURE
Fails unless the theorem is a singly universally quantified equation.

\SEEALSO
AP_TERM, EXISTS_EQ, GEN, LIST_MK_EXISTS, MK_ABS.

\ENDDOC