Description: Isomorphism implies the right side is a group. (Contributed by Mario Carneiro, 6-May-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | gicrcl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | brgic | ||
2 | n0 | ||
3 | 1 2 | bitri | |
4 | gimghm | ||
5 | ghmgrp2 | ||
6 | 4 5 | syl | |
7 | 6 | exlimiv | |
8 | 3 7 | sylbi |