LIST_MK_EXISTS

Drule.LIST_MK_EXISTS : (term list -> thm -> thm)

Multiply existentially quantifies both sides of an equation using the given variables.

When applied to a list of terms [x1;...;xn], where the xi are all variables, and a theorem A |- t1 = t2, the inference rule LIST_MK_EXISTS existentially quantifies both sides of the equation using the variables given, none of which should be free in the assumption list.

                A |- t1 = t2
   --------------------------------------  LIST_MK_EXISTS ["x1";...;"xn"]
    A |- (?x1...xn. t1) = (?x1...xn. t2)

Failure

Fails if any term in the list is not a variable or is free in the assumption list, or if the theorem is not equational.

See also

Drule.EXISTS_EQ, Drule.MK_EXISTS