Metamath Proof Explorer


Theorem nfcvd

Description: If x is disjoint from A , then x is not free in A . (Contributed by Mario Carneiro, 7-Oct-2016)

Ref Expression
Assertion nfcvd ( 𝜑 𝑥 𝐴 )

Proof

Step Hyp Ref Expression
1 nfcv 𝑥 𝐴
2 1 a1i ( 𝜑 𝑥 𝐴 )