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Theorem ralrimi 2695
Description: Inference from Theorem 19.21 of [Margaris] p. 90 (restricted quantifier version). (Contributed by NM, 10-Oct-1999.)
Hypotheses
Ref Expression
ralrimi.1  F/
ralrimi.2
Assertion
Ref Expression
ralrimi

Proof of Theorem ralrimi
StepHypRef Expression
1 ralrimi.1 . . 3  F/
2 ralrimi.2 . . 3
31, 2alrimi 1765 . 2
4 df-ral 2619 . 2
53, 4sylibr 203 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-1 5  ax-2 6  ax-3 7  ax-mp 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:  ralrimiv  2696  reximdai  2722  r19.12  2727  rexlimd  2735  rexlimd2  2736  r19.37  2760  ralcom2  2775  2rmorex  3040  iineq2d  3989  ncfinraise  4481  mpteq2da  5666
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