I did an exhaustive test on this. My results should speak for themselves:
//These will all print "1"
NSLog(@"%d", true == true);
NSLog(@"%d", TRUE == true);
NSLog(@"%d", YES == true);
NSLog(@"%d", true == TRUE);
NSLog(@"%d", TRUE == TRUE);
NSLog(@"%d", YES == TRUE);
NSLog(@"%d", true == YES);
NSLog(@"%d", TRUE == YES);
NSLog(@"%d", YES == YES);
NSLog(@"%d", false == false);
NSLog(@"%d", FALSE == false);
NSLog(@"%d", NO == false);
NSLog(@"%d", false == FALSE);
NSLog(@"%d", FALSE == FALSE);
NSLog(@"%d", NO == FALSE);
NSLog(@"%d", false == NO);
NSLog(@"%d", FALSE == NO);
NSLog(@"%d", NO == NO);
//These will all print "0"
NSLog(@"%d", false == true);
NSLog(@"%d", FALSE == true);
NSLog(@"%d", NO == true);
NSLog(@"%d", false == TRUE);
NSLog(@"%d", FALSE == TRUE);
NSLog(@"%d", NO == TRUE);
NSLog(@"%d", false == YES);
NSLog(@"%d", FALSE == YES);
NSLog(@"%d", NO == YES);
NSLog(@"%d", true == false);
NSLog(@"%d", TRUE == false);
NSLog(@"%d", YES == false);
NSLog(@"%d", true == FALSE);
NSLog(@"%d", TRUE == FALSE);
NSLog(@"%d", YES == FALSE);
NSLog(@"%d", true == NO);
NSLog(@"%d", TRUE == NO);
NSLog(@"%d", YES == NO);
The output is:
2013-02-19 20:30:37.061 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.061 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.072 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.073 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.073 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.074 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.074 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.075 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.075 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.076 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.077 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.077 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.078 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.078 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.079 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.079 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.080 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.080 BooleanTests[27433:a0f] 1
2013-02-19 20:30:37.081 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.081 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.082 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.091 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.092 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.093 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.093 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.094 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.094 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.095 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.095 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.096 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.096 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.097 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.098 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.101 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.102 BooleanTests[27433:a0f] 0
2013-02-19 20:30:37.102 BooleanTests[27433:a0f] 0