Metamath Proof Explorer


Theorem abfOLD

Description: Obsolete version of abf as of 28-Jun-2024. (Contributed by NM, 20-Jan-2012) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis abfOLD.1
|- -. ph
Assertion abfOLD
|- { x | ph } = (/)

Proof

Step Hyp Ref Expression
1 abfOLD.1
 |-  -. ph
2 ab0
 |-  ( { x | ph } = (/) <-> A. x -. ph )
3 2 1 mpgbir
 |-  { x | ph } = (/)