Metamath Proof Explorer


Theorem ioosscn

Description: An open interval is a set of complex numbers. (Contributed by Glauco Siliprandi, 11-Dec-2019)

Ref Expression
Assertion ioosscn
|- ( A (,) B ) C_ CC

Proof

Step Hyp Ref Expression
1 ioossre
 |-  ( A (,) B ) C_ RR
2 ax-resscn
 |-  RR C_ CC
3 1 2 sstri
 |-  ( A (,) B ) C_ CC