Metamath Proof Explorer


Theorem nfsbc1v

Description: Bound-variable hypothesis builder for class substitution. (Contributed by Mario Carneiro, 12-Oct-2016)

Ref Expression
Assertion nfsbc1v ⊢ Ⅎ x [˙A / x]˙ φ

Proof

Step Hyp Ref Expression
1 nfcv ⊢ Ⅎ _ x A
2 1 nfsbc1 ⊢ Ⅎ x [˙A / x]˙ φ