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Theorem sptruw 1669
Description: Version of sp 1716 when  ph is true. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 23-Apr-1017.)
Hypothesis
Ref Expression
sptruw.1  |-  ph
Assertion
Ref Expression
sptruw  |-  ( A. x ph  ->  ph )

Proof of Theorem sptruw
StepHypRef Expression
1 sptruw.1 . 2  |-  ph
21a1i 10 1  |-  ( A. x ph  ->  ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1527
This theorem was proved from axioms:  ax-1 5  ax-mp 8
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