Synthesized properties in Objective-C without instance variables

Foo.h

@interface Foo : NSObject {}
@property(assign) float foo;
@end

Foo.m

#import "Foo.h"

// Private interface
@interface Foo ()
@property(assign) float bar;
@end

@implementation Foo
@synthesize foo, bar;

- (void) doSomething
{
    foo = bar = 1;
}

@end

does this work if line 9 doesn't also include bar, like this?

@synthesize foo, bar;