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Metamath Proof Explorer
Description: Alias for ax-10 to be used instead of it. (Contributed by NM, 24-Jan-1993) (Proof shortened by Wolf Lammen, 18-Aug-2014)
|
|
Ref |
Expression |
|
Assertion |
hbn1 |
⊢ ( ¬ ∀ 𝑥 𝜑 → ∀ 𝑥 ¬ ∀ 𝑥 𝜑 ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
ax-10 |
⊢ ( ¬ ∀ 𝑥 𝜑 → ∀ 𝑥 ¬ ∀ 𝑥 𝜑 ) |