SPEC_UNDISCH_EXL : thm -> thm
STRUCTURE
Drule
SYNOPSIS
Strips universal quantifiers and antecedents of implications (splitting conjunctive antecedents), then where possible replaces the formerly quantified variables as existentials in the new hypotheses.
DESCRIPTION
In this example, assume that a1 and a3 (only) involve the free variable x. 
   |- !x. a1 ==> !y. a2 ==> !z. a3 ==> !u. t
   ----------------------------------------- SPEC_UNDISCH_EXL
	   ?x. a1 /\ a3, a2 |- t
FAILURE
No failure. Can leave the supplied theorem unchanged.
COMMENTS
See EXISTS_LEFT for more on the existential quantification aspect. Note that the existential quantification happens only for variables which were universally quantified in the supplied theorem (to get around this limitation, first apply GEN_ALL to the supplied theorem).
EXAMPLE
Where trans_thm is [] |- !x y z. (x = y) ==> (y = z) ==> (x = z)

SPEC_UNDISCH_EXL trans_thm is [?y. (x = y) /\ (y = z)] |- x = z

SEEALSO
EXISTS_LEFT, irule
HOL  Trindemossen-1