Metamath Proof Explorer


Theorem 19.8w

Description: Weak version of 19.8a and instance of 19.2d . (Contributed by NM, 1-Aug-2017) (Proof shortened by Wolf Lammen, 4-Dec-2017)

Ref Expression
Hypothesis 19.8w.1 ⊢ φ → ∀ x φ
Assertion 19.8w ⊢ φ → ∃ x φ

Proof

Step Hyp Ref Expression
1 19.8w.1 ⊢ φ → ∀ x φ
2 1 19.2d ⊢ φ → ∃ x φ