Description: The N -th edge in an eulerian path is the edge from P ( N ) to P ( N + 1 ) . (Contributed by Mario Carneiro, 12-Mar-2015) (Revised by AV, 18-Feb-2021)
Ref | Expression | ||
---|---|---|---|
Hypothesis | upgreupthseg.i | |
|
Assertion | upgreupthseg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | upgreupthseg.i | |
|
2 | eqid | |
|
3 | 1 2 | upgreupthi | |
4 | 2fveq3 | |
|
5 | fveq2 | |
|
6 | fvoveq1 | |
|
7 | 5 6 | preq12d | |
8 | 4 7 | eqeq12d | |
9 | 8 | rspccv | |
10 | 9 | 3ad2ant3 | |
11 | 3 10 | syl | |
12 | 11 | 3impia | |