Description: 2 is a prime number. (Contributed by Paul Chapman, 22-Jun-2011) (Proof shortened by Fan Zheng, 16-Jun-2016)
Ref | Expression | ||
---|---|---|---|
Assertion | 2prm | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2z | |
|
2 | 1lt2 | |
|
3 | eluz2b1 | |
|
4 | 1 2 3 | mpbir2an | |
5 | ral0 | |
|
6 | fzssuz | |
|
7 | df-ss | |
|
8 | 6 7 | mpbi | |
9 | uzdisj | |
|
10 | 8 9 | eqtr3i | |
11 | 10 | raleqi | |
12 | 5 11 | mpbir | |
13 | isprm3 | |
|
14 | 4 12 13 | mpbir2an | |