Description: Version of invdisjrab with a disjoint variable condition, which does not require ax-13 . (Contributed by Gino Giotto, 26-Jan-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | invdisjrabw | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv | |
|
2 | nfcv | |
|
3 | nfcsb1v | |
|
4 | 3 | nfeq1 | |
5 | csbeq1a | |
|
6 | 5 | eqeq1d | |
7 | 1 2 4 6 | elrabf | |
8 | simprr | |
|
9 | 7 8 | sylan2b | |
10 | 9 | rgen2 | |
11 | invdisj | |
|
12 | 10 11 | ax-mp | |