GENL

Thm.GENL : term list -> thm -> thm

Generalizes zero or more variables in the conclusion of a theorem.

When applied to a term list [x1,...,xn] and a theorem A |- t, the inference rule GENL returns the theorem A |- !x1...xn. t, provided none of the variables xi are free in any of the assumptions. It is not necessary that any or all of the xi should be free in t.

         A |- t
   ------------------  GENL [x1,...,xn]       [where no xi is free in A]
    A |- !x1...xn. t

Failure

Fails unless all the terms in the list are variables, none of which are free in the assumption list.

See also

Thm.GEN, Drule.GEN_ALL, Tactic.GEN_TAC, Thm.SPEC, Drule.SPECL, Drule.SPEC_ALL, Tactic.SPEC_TAC