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Mirrors > Home > MPE Home > Th. List > hbn1 | Structured version Visualization version GIF version |
Description: Alias for ax-10 2130 to be used instead of it. (Contributed by NM, 24-Jan-1993.) (Proof shortened by Wolf Lammen, 18-Aug-2014.) |
Ref | Expression |
---|---|
hbn1 | ⊢ (¬ ∀𝑥𝜑 → ∀𝑥 ¬ ∀𝑥𝜑) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-10 2130 | 1 ⊢ (¬ ∀𝑥𝜑 → ∀𝑥 ¬ ∀𝑥𝜑) |
Colors of variables: wff setvar class |
Syntax hints: ¬ wn 3 → wi 4 ∀wal 1532 |
This theorem was proved from axioms: ax-10 2130 |
This theorem is referenced by: hbe1 2132 hbe1a 2133 modal5 2145 axc7 2306 axc4 2310 axc14 2457 ax12indn 38652 axc5c4c711 44110 vk15.4j 44239 ax6e2nd 44269 ax6e2ndVD 44619 ax6e2ndALT 44641 |
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