Metamath Proof Explorer


Theorem sps

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

Ref Expression
Hypothesis sps.1 φ ψ
Assertion sps x φ ψ

Proof

Step Hyp Ref Expression
1 sps.1 φ ψ
2 sp x φ φ
3 2 1 syl x φ ψ