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Theorem sps-o 33009
Description: Generalization of antecedent. (Contributed by NM, 5-Jan-1993.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
sps-o.1 (𝜑𝜓)
Assertion
Ref Expression
sps-o (∀𝑥𝜑𝜓)

Proof of Theorem sps-o
StepHypRef Expression
1 ax-c5 32984 . 2 (∀𝑥𝜑𝜑)
2 sps-o.1 . 2 (𝜑𝜓)
31, 2syl 17 1 (∀𝑥𝜑𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1472
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-c5 32984
This theorem is referenced by:  axc5c711toc7  33021  axc11n-16  33039  ax12eq  33042  ax12el  33043  ax12inda  33049  ax12v2-o  33050  axc11-o  33052
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