File: ABS.doc

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\DOC ABS

\TYPE {ABS : (term -> thm -> thm)}

\SYNOPSIS
Abstracts both sides of an equation.

\KEYWORDS
rule, abstraction.

\DESCRIBE
{
         A |- t1 = t2
   ------------------------  ABS "x"            [Where x is not free in A]
    A |- (\x.t1) = (\x.t2)
}
\FAILURE
If the theorem is not an equation, or if the variable {x} is free in the
assumptions {A}.

\EXAMPLE
{
#ABS "m:num" (REFL "m:num");;
|- (\m. m) = (\m. m)
}
\SEEALSO
ETA_CONV, EXT, MK_ABS.

\ENDDOC