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Theorem sps-o 2111
Description: Generalization of antecedent. (Contributed by NM, 5-Aug-1993.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
sps-o.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
sps-o  |-  ( A. x ph  ->  ps )

Proof of Theorem sps-o
StepHypRef Expression
1 ax-4 2087 . 2  |-  ( A. x ph  ->  ph )
2 sps-o.1 . 2  |-  ( ph  ->  ps )
31, 2syl 15 1  |-  ( A. x ph  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1530
This theorem is referenced by:  ax467to6  2123  ax10-16  2142  ax11eq  2145  ax11el  2146  ax11inda  2152  ax11v2-o  2153  ax10o-o  2155
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8  ax-4 2087
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