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Theorem ggen22 27768
Description: gen22 27767 without virtual deductions. (Contributed by Alan Sare, 25-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
ggen22.1  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
ggen22  |-  ( ph  ->  ( ps  ->  A. x A. y ch ) )
Distinct variable groups:    ph, x    ph, y    ps, x    ps, y
Allowed substitution hints:    ch( x, y)

Proof of Theorem ggen22
StepHypRef Expression
1 ggen22.1 . . 3  |-  ( ph  ->  ( ps  ->  ch ) )
21alrimdv 1619 . 2  |-  ( ph  ->  ( ps  ->  A. y ch ) )
32alrimdv 1619 1  |-  ( ph  ->  ( ps  ->  A. x A. y ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1527
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8  ax-gen 1533  ax-5 1544  ax-17 1603
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