Metamath Proof Explorer


Theorem nfnaewOLD

Description: Obsolete version of nfnaew as of 25-Sep-2024. (Contributed by Mario Carneiro, 11-Aug-2016) (Revised by Gino Giotto, 10-Jan-2024) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion nfnaewOLD z ¬ x x = y

Proof

Step Hyp Ref Expression
1 hbaev x x = y z x x = y
2 1 nf5i z x x = y
3 2 nfn z ¬ x x = y