Metamath Proof Explorer


Theorem bj-nexdvt

Description: Closed form of nexdv . (Contributed by BJ, 20-Oct-2019)

Ref Expression
Assertion bj-nexdvt x φ ¬ ψ φ ¬ x ψ

Proof

Step Hyp Ref Expression
1 nfv x φ
2 bj-nexdt x φ x φ ¬ ψ φ ¬ x ψ
3 1 2 ax-mp x φ ¬ ψ φ ¬ x ψ