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Theorem rr19.3v 2769
 Description: Restricted quantifier version of Theorem 19.3 of [Margaris] p. 89. (Contributed by NM, 25-Oct-2012.)
Assertion
Ref Expression
rr19.3v
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem rr19.3v
StepHypRef Expression
1 biidd 171 . . . 4
21rspcv 2732 . . 3
32ralimia 2447 . 2
4 ax-1 5 . . . 4
54ralrimiv 2457 . . 3
65ralimi 2449 . 2
73, 6impbii 125 1
 Colors of variables: wff set class Syntax hints:   wb 104   wcel 1445  wral 2370 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 668  ax-5 1388  ax-7 1389  ax-gen 1390  ax-ie1 1434  ax-ie2 1435  ax-8 1447  ax-10 1448  ax-11 1449  ax-i12 1450  ax-bndl 1451  ax-4 1452  ax-17 1471  ax-i9 1475  ax-ial 1479  ax-i5r 1480  ax-ext 2077 This theorem depends on definitions:  df-bi 116  df-tru 1299  df-nf 1402  df-sb 1700  df-clab 2082  df-cleq 2088  df-clel 2091  df-nfc 2224  df-ral 2375  df-v 2635 This theorem is referenced by: (None)
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