Description: The edge function of a simple pseudograph is a bijective function onto the edges of the graph. (Contributed by AV, 2-Jan-2020) (Revised by AV, 15-Oct-2020)
Ref | Expression | ||
---|---|---|---|
Hypothesis | usgrf1o.e | |
|
Assertion | uspgrf1oedg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | usgrf1o.e | |
|
2 | eqid | |
|
3 | 2 1 | uspgrf | |
4 | f1f1orn | |
|
5 | 1 | rneqi | |
6 | edgval | |
|
7 | 5 6 | eqtr4i | |
8 | f1oeq3 | |
|
9 | 7 8 | ax-mp | |
10 | 4 9 | sylib | |
11 | 3 10 | syl | |