Theorem limsupcli

Description: Closure of the superior limit. (Contributed by Glauco Siliprandi, 2-Jan-2022)

	Ref	Expression
Hypothesis	limsupcli.1	|- F e. V
Assertion	limsupcli	|- ( limsup ` F ) e. RR*

Proof

Step	Hyp	Ref	Expression
1		limsupcli.1	|- F e. V
2		limsupcl	|- ( F e. V -> ( limsup ` F ) e. RR* )
3	1 2	ax-mp	|- ( limsup ` F ) e. RR*