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Theorem ralimdaa 2691
Description: Deduction quantifying both antecedent and consequent, based on Theorem 19.20 of [Margaris] p. 90. (Contributed by NM, 22-Sep-2003.)
Hypotheses
Ref Expression
ralimdaa.1  F/
ralimdaa.2
Assertion
Ref Expression
ralimdaa

Proof of Theorem ralimdaa
StepHypRef Expression
1 ralimdaa.1 . . 3  F/
2 ralimdaa.2 . . . . 5
32ex 423 . . . 4
43a2d 23 . . 3
51, 4alimd 1764 . 2
6 df-ral 2619 . 2
7 df-ral 2619 . 2
85, 6, 73imtr4g 261 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358  wal 1540   F/wnf 1544   wcel 1710  wral 2614
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545  df-ral 2619
This theorem is referenced by:  ralimdva  2692
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