Description: If A <_ B <_ ~P A , and A is an infinite GCH-set, then either A = B or B = ~P A in cardinality. (Contributed by Mario Carneiro, 15-May-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | gchor | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simprr | |
|
2 | brdom2 | |
|
3 | 1 2 | sylib | |
4 | gchen1 | |
|
5 | 4 | expr | |
6 | 5 | adantrr | |
7 | 6 | orim1d | |
8 | 3 7 | mpd | |