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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | \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
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