Metamath Proof Explorer


Theorem pwidgOLD

Description: Obsolete version of pwidg as of 10-Jun-2026. (Contributed by Stefan O'Rear, 1-Feb-2015) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion pwidgOLD
|- ( A e. V -> A e. ~P A )

Proof

Step Hyp Ref Expression
1 ssid
 |-  A C_ A
2 elpwg
 |-  ( A e. V -> ( A e. ~P A <-> A C_ A ) )
3 1 2 mpbiri
 |-  ( A e. V -> A e. ~P A )