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Mirrors > Home > MPE Home > Th. List > ax11dgen | Structured version Visualization version GIF version |
Description: Degenerate instance of ax-11 2158 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 |
---|---|
ax11dgen | ⊢ (∀𝑥∀𝑥𝜑 → ∀𝑥∀𝑥𝜑) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 22 | 1 ⊢ (∀𝑥∀𝑥𝜑 → ∀𝑥∀𝑥𝜑) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 ∀wal 1536 |
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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