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%------------------------------------------------------------------------------
% Identity preserves Borel-ness
%
% Author: David Lester, Manchester University, NIA, Université Perpignan
%
% All references are to WA Sutherland "Introduction to Metric and
% Topological Spaces", OUP, 1981
%
% Version 1.0 1/5/07 Initial Version
%------------------------------------------------------------------------------
identity_borel[T:TYPE, (IMPORTING topology@topology_def[T]) S:topology]: THEORY
BEGIN
IMPORTING borel_functions[T,S,T,S]
id_borel : LEMMA borel_function?(I[T])
I_is_borel : JUDGEMENT I[T] HAS_TYPE borel_function
END identity_borel
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