Description: Degenerate instance of ax-13 where bundled variables x and y have a common substitution. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 13-Apr-2017)
Ref | Expression | ||
---|---|---|---|
Assertion | ax13dgen1 | |- ( -. x = x -> ( x = z -> A. x x = z ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equid | |- x = x |
|
2 | 1 | pm2.24i | |- ( -. x = x -> ( x = z -> A. x x = z ) ) |