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Theorem ralrimd 2702
Description: Inference from Theorem 19.21 of [Margaris] p. 90. (Restricted quantifier version.) (Contributed by NM, 16-Feb-2004.)
Hypotheses
Ref Expression
ralrimd.1  F/
ralrimd.2  F/
ralrimd.3
Assertion
Ref Expression
ralrimd

Proof of Theorem ralrimd
StepHypRef Expression
1 ralrimd.1 . . 3  F/
2 ralrimd.2 . . 3  F/
3 ralrimd.3 . . 3
41, 2, 3alrimd 1769 . 2
5 df-ral 2619 . 2
64, 5syl6ibr 218 1
Colors of variables: wff setvar class
Syntax hints:   wi 4  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-ex 1542  df-nf 1545  df-ral 2619
This theorem is referenced by:  ralrimdv  2703  ncfinraise  4481
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