Metamath Proof Explorer


Theorem nfsab1OLD

Description: Obsolete version of nfsab1 as of 20-Sep-2023. (Contributed by Mario Carneiro, 11-Aug-2016) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion nfsab1OLD 𝑥 𝑦 ∈ { 𝑥𝜑 }

Proof

Step Hyp Ref Expression
1 hbab1 ( 𝑦 ∈ { 𝑥𝜑 } → ∀ 𝑥 𝑦 ∈ { 𝑥𝜑 } )
2 1 nf5i 𝑥 𝑦 ∈ { 𝑥𝜑 }