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Theorem alrimdv 1799
Description: Deduction from Theorem 19.21 of [Margaris] p. 90. (Contributed by NM, 10-Feb-1997.)
Hypothesis
Ref Expression
alrimdv.1  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
alrimdv  |-  ( ph  ->  ( ps  ->  A. x ch ) )
Distinct variable groups:    ph, x    ps, x
Allowed substitution hint:    ch( x)

Proof of Theorem alrimdv
StepHypRef Expression
1 ax-17 1460 . 2  |-  ( ph  ->  A. x ph )
2 ax-17 1460 . 2  |-  ( ps 
->  A. x ps )
3 alrimdv.1 . 2  |-  ( ph  ->  ( ps  ->  ch ) )
41, 2, 3alrimdh 1409 1  |-  ( ph  ->  ( ps  ->  A. x ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1283
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-5 1377  ax-gen 1379  ax-17 1460
This theorem is referenced by:  funcnvuni  5019  fliftfun  5487  findcard  6444  findcard2  6445  findcard2s  6446  genprndl  6825  genprndu  6826  bj-inf2vnlem2  11033
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