Description: Express injection for a mapping operation. (Contributed by Thierry Arnoux, 3-May-2020)
Ref | Expression | ||
---|---|---|---|
Hypotheses | f1mptrn.1 | |
|
f1mptrn.2 | |
||
Assertion | f1mptrn | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1mptrn.1 | |
|
2 | f1mptrn.2 | |
|
3 | 1 | ralrimiva | |
4 | 2 | ralrimiva | |
5 | eqid | |
|
6 | 5 | f1ompt | |
7 | dff1o2 | |
|
8 | 7 | simp2bi | |
9 | 6 8 | sylbir | |
10 | 3 4 9 | syl2anc | |