Metamath Proof Explorer


Theorem nfab1

Description: Bound-variable hypothesis builder for a class abstraction. (Contributed by Mario Carneiro, 11-Aug-2016)

Ref Expression
Assertion nfab1 ⊢ Ⅎ _ x x | φ

Proof

Step Hyp Ref Expression
1 nfsab1 ⊢ Ⅎ x y ∈ x | φ
2 1 nfci ⊢ Ⅎ _ x x | φ