prove_rep_fn_onto : thm -> thm

SYNOPSIS
Proves that a type representation function is onto (surjective).

DESCRIBE
If th is a theorem of the form returned by the function define_new_type_bijections:
   |- (!a. abs(rep a) = a) /\ (!r. P r = (rep(abs r) = r))
then prove_rep_fn_onto th proves from this theorem that the function rep is onto the set of values that satisfy P, returning the theorem:
   |- !r. P r = (?a. r = rep a)

FAILURE
Fails if applied to a theorem not of the form shown above.

SEEALSO  new_type_definition,   define_new_type_bijections,   prove_abs_fn_one_one,   prove_abs_fn_onto,   prove_rep_fn_one_one

HOL  Kananaskis 0