Metamath Proof Explorer


Theorem ssralvOLD

Description: Obsolete version of ssralv as of 19-May-2025. (Contributed by NM, 11-Mar-2006) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion ssralvOLD A B x B φ x A φ

Proof

Step Hyp Ref Expression
1 ssel A B x A x B
2 1 imim1d A B x B φ x A φ
3 2 ralimdv2 A B x B φ x A φ