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Metamath Proof Explorer


Theorem 19.21bi

Description: Inference form of 19.21 and also deduction form of sp . (Contributed by NM, 26-May-1993)

Ref Expression
Hypothesis 19.21bi.1
|- ( ph -> A. x ps )
Assertion 19.21bi
|- ( ph -> ps )

Proof

Step Hyp Ref Expression
1 19.21bi.1
 |-  ( ph -> A. x ps )
2 sp
 |-  ( A. x ps -> ps )
3 1 2 syl
 |-  ( ph -> ps )