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Metamath Proof Explorer

Theorem 19.2d

Description: Deduction associated with 19.2 . (Contributed by BJ, 12-May-2019)

Ref Expression
Hypothesis 19.2d.1 ⊢ ( 𝜑 → ∀ 𝑥 𝜓 )
Assertion 19.2d ( 𝜑 → ∃ 𝑥 𝜓 )

Proof

Step Hyp Ref Expression
1 19.2d.1 ⊢ ( 𝜑 → ∀ 𝑥 𝜓 )
2 19.2 ⊢ ( ∀ 𝑥 𝜓 → ∃ 𝑥 𝜓 )
3 1 2 syl ⊢ ( 𝜑 → ∃ 𝑥 𝜓 )