Second-countable and T1 implies cardinality at most that of the continuum

Statement
Suppose a topological space is both a uses property satisfaction of::second-countable space and a  uses property satisfaction of::T1 space. Then, its cardinality is at most equal to the cardinality of the continuum.

Facts used

 * 1) uses::Second-countable and T1 implies perfect
 * 2) uses::Perfect implies cardinality of space is at most the power cardinal of the cardinality of any basis

Proof
The proof follows directly by combining Facts (1) and (2).