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 𝑥 { 𝑥𝜑 }

Proof

Step Hyp Ref Expression
1 nfsab1 𝑥 𝑦 ∈ { 𝑥𝜑 }
2 1 nfci 𝑥 { 𝑥𝜑 }