Description: Rule to change the second bound variable in a maps-to function, using implicit substitution. (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | cbvmpo2.1 | |
|
cbvmpo2.2 | |
||
cbvmpo2.3 | |
||
cbvmpo2.4 | |
||
cbvmpo2.5 | |
||
Assertion | cbvmpo2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvmpo2.1 | |
|
2 | cbvmpo2.2 | |
|
3 | cbvmpo2.3 | |
|
4 | cbvmpo2.4 | |
|
5 | cbvmpo2.5 | |
|
6 | 2 | nfcri | |
7 | nfcv | |
|
8 | 7 | nfcri | |
9 | 6 8 | nfan | |
10 | 3 | nfeq2 | |
11 | 9 10 | nfan | |
12 | 1 | nfcri | |
13 | nfv | |
|
14 | 12 13 | nfan | |
15 | 4 | nfeq2 | |
16 | 14 15 | nfan | |
17 | eleq1w | |
|
18 | 17 | anbi2d | |
19 | 5 | eqeq2d | |
20 | 18 19 | anbi12d | |
21 | 11 16 20 | cbvoprab2 | |
22 | df-mpo | |
|
23 | df-mpo | |
|
24 | 21 22 23 | 3eqtr4i | |