ABS_CONV : conv -> conv

SYNOPSIS
Applies a conversion to the body of an abstraction.

DESCRIBE
If c is a conversion that maps a term tm to the theorem |- tm = tm', then the conversion ABS_CONV c maps abstractions of the form \x.tm to theorems of the form:
   |- (\x.tm) = (\x.tm')
That is, ABS_CONV c "\x.t" applies c to the body of the abstraction \x.t.

FAILURE
ABS_CONV c tm fails if tm is not an abstraction or if tm has the form \x.t but the conversion c fails when applied to the term t. The function returned by ABS_CONV c may also fail if the ML function c:term->thm is not, in fact, a conversion (i.e. a function that maps a term M to a theorem |- M = N).

EXAMPLE
- ABS_CONV SYM_CONV (Term `\x. 1 = x`)

> val it = |- (\x. 1 = x) = (\x. x = 1) : thm

SEEALSO  RAND_CONV,   RATOR_CONV,   SUB_CONV

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