Metamath Proof Explorer


Theorem sps

Description: Generalization of antecedent. (Contributed by NM, 5-Jan-1993)

Ref Expression
Hypothesis sps.1 φψ
Assertion sps xφψ

Proof

Step Hyp Ref Expression
1 sps.1 φψ
2 sp xφφ
3 2 1 syl xφψ