Metamath Proof Explorer


Theorem bj-nexrt

Description: Closed form of nexr . Contrapositive of 19.8a . (Contributed by BJ, 20-Oct-2019)

Ref Expression
Assertion bj-nexrt ⊢ ¬ ∃ x φ → ¬ φ

Proof

Step Hyp Ref Expression
1 19.8a ⊢ φ → ∃ x φ
2 1 con3i ⊢ ¬ ∃ x φ → ¬ φ