Description: A regular space is a topological space. (Contributed by Jeff Hankins, 1-Feb-2010)
Ref | Expression | ||
---|---|---|---|
Assertion | regtop | |- ( J e. Reg -> J e. Top ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | isreg | |- ( J e. Reg <-> ( J e. Top /\ A. x e. J A. y e. x E. z e. J ( y e. z /\ ( ( cls ` J ) ` z ) C_ x ) ) ) |
|
2 | 1 | simplbi | |- ( J e. Reg -> J e. Top ) |