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| Mirrors > Home > NFE Home > Th. List > ax7dgen | GIF version | ||
| Description: Degenerate instance of ax-7 1734 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 |
|---|---|
| ax7dgen | ⊢ (∀x∀xφ → ∀x∀xφ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | id 19 | 1 ⊢ (∀x∀xφ → ∀x∀xφ) |
| Colors of variables: wff setvar class |
| Syntax hints: → wi 4 ∀wal 1540 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
| This theorem is referenced by: (None) |
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