File: freesin.doc

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\DOC freesin

\TYPE {freesin : term list -> term -> bool}

\SYNOPSIS
Tests if all free variables of a term appear in a list.

\DESCRIBE
The call {freesin l t} tests whether all free variables of {t} occur in the 
list {l}. The special case where {l = []} will therefore test whether {t} is 
closed (i.e. contains no free variables).

\FAILURE
Never fails.

\EXAMPLE
{
  # freesin [] `!x y. x + y >= 0`;;
  val it : bool = true
  # freesin [] `x + y >= 0`;;
  val it : bool = false
  # freesin [`x:num`; `y:num`; `z:num`] `x + y >= 0`;;
  val it : bool = true
}

\USES
Can be attractive to fold together some free-variable tests without explicitly 
constructing the set of free variables in a term.

\SEEALSO
frees, freesl, vfree_in.

\ENDDOC