Theorem ndmico

Description: The closed-below, open-above interval function's value is empty outside of its domain. (Contributed by Glauco Siliprandi, 2-Jan-2022)

	Ref	Expression
Assertion	ndmico	|- ( -. ( A e. RR* /\ B e. RR* ) -> ( A [,) B ) = (/) )

Proof

Step	Hyp	Ref	Expression
1		dmico	|- dom [,) = ( RR* X. RR* )
2	1	ndmov	|- ( -. ( A e. RR* /\ B e. RR* ) -> ( A [,) B ) = (/) )