GENL : term list -> thm -> thm

SYNOPSIS

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

DESCRIPTION

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 CONDITIONS

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

EXAMPLE

  # SPEC `m + p:num` ADD_SYM;;
  val it : thm = |- !n. (m + p) + n = n + m + p

  # GENL [`m:num`; `p:num`] it;;
  val it : thm = |- !m p n. (m + p) + n = n + m + p