Description: A real number equals its real part. Proposition 10-3.4(f) of Gleason p. 133. (Contributed by Mario Carneiro, 29-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypotheses | recld.1 | |
|
rerebd.2 | |
||
Assertion | rerebd | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | recld.1 | |
|
2 | rerebd.2 | |
|
3 | rereb | |
|
4 | 1 3 | syl | |
5 | 2 4 | mpbird | |