Description: The properties of a k-regular simple graph expressed with neighbors. (Contributed by Alexander van der Vekens, 26-Jul-2018) (Revised by AV, 26-Dec-2020)
Ref | Expression | ||
---|---|---|---|
Hypothesis | rusgrpropnb.v | |
|
Assertion | rusgrpropnb | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rusgrpropnb.v | |
|
2 | eqid | |
|
3 | 1 2 | rusgrprop0 | |
4 | simp1 | |
|
5 | simp2 | |
|
6 | 1 | hashnbusgrvd | |
7 | 6 | adantlr | |
8 | eqeq2 | |
|
9 | 8 | eqcoms | |
10 | 7 9 | syl5ibrcom | |
11 | 10 | ralimdva | |
12 | 11 | 3impia | |
13 | 4 5 12 | 3jca | |
14 | 3 13 | syl | |