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Metamath Proof Explorer

Theorem alfal

Description: For all sets, -. F. is true. (Contributed by Anthony Hart, 13-Sep-2011)

Ref Expression
Assertion alfal ∀ 𝑥 ¬ ⊥

Proof

Step Hyp Ref Expression
1 fal ⊢ ¬ ⊥
2 1 ax-gen ⊢ ∀ 𝑥 ¬ ⊥