LIST_MK_PEXISTS : (term list -> thm -> thm)
STRUCTURE
LIBRARY
pair
SYNOPSIS
Multiply existentially quantifies both sides of an equation using the given pairs.
DESCRIPTION
When applied to a list of terms [p1;...;pn], where the pi are all paired structures of variables, and a theorem A |- t1 = t2, the inference rule LIST_MK_PEXISTS existentially quantifies both sides of the equation using the pairs given, none of the variables in the pairs should be free in the assumption list.
                A |- t1 = t2
   --------------------------------------  LIST_MK_PEXISTS ["x1";...;"xn"]
    A |- (?x1...xn. t1) = (?x1...xn. t2)

FAILURE
Fails if any term in the list is not a paired structure of variables, or if any variable is free in the assumption list, or if the theorem is not equational.
SEEALSO
HOL  Kananaskis-14