Metamath Proof Explorer

Theorem eliccxr

Description: A member of a closed interval is an extended real. (Contributed by Glauco Siliprandi, 11-Dec-2019)

Ref Expression
Assertion eliccxr 
|- ( A e. ( B [,] C ) -> A e. RR* )

Proof

Step Hyp Ref Expression
1 iccssxr 
 |-  ( B [,] C ) C_ RR*
2 1 sseli 
 |-  ( A e. ( B [,] C ) -> A e. RR* )