Description: Relative version of Russell's paradox ru (which corresponds to the case A = _V ).
Originally a subproof in pwnss . (Contributed by Stefan O'Rear, 22-Feb-2015) Avoid df-nel . (Revised by Steven Nguyen, 23-Nov-2022) Reduce axiom usage. (Revised by Gino Giotto, 30-Aug-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | rru |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleq12 | ||
2 | 1 | anidms | |
3 | 2 | notbid | |
4 | eleq12 | ||
5 | 4 | anidms | |
6 | 5 | notbid | |
7 | 6 | cbvrabv | |
8 | 3 7 | elrab2 | |
9 | pclem6 | ||
10 | 8 9 | ax-mp |