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Theorem 2ax17 1630
Description: Quantification of two variables over a formula in which they do not occur. (Contributed by Alan Sare, 12-Apr-2011.)
Assertion
Ref Expression
2ax17  |-  ( ph  ->  A. x A. y ph )
Distinct variable groups:    ph, x    ph, y

Proof of Theorem 2ax17
StepHypRef Expression
1 id 19 . 2  |-  ( ph  ->  ph )
21alrimivv 1622 1  |-  ( ph  ->  A. x A. y ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1530
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606
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