Metamath Proof Explorer

Theorem sps-o

Description: Generalization of antecedent. (Contributed by NM, 5-Jan-1993) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis sps-o.1 
|- ( ph -> ps )
Assertion sps-o 
|- ( A. x ph -> ps )

Proof

Step Hyp Ref Expression
1 sps-o.1 
 |-  ( ph -> ps )
2 ax-c5 
 |-  ( A. x ph -> ph )
3 2 1 syl 
 |-  ( A. x ph -> ps )