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Theorem rmobida 2490
Description: Formula-building rule for restricted existential quantifier (deduction rule). (Contributed by NM, 16-Jun-2017.)
Hypotheses
Ref Expression
rmobida.1  F/
rmobida.2
Assertion
Ref Expression
rmobida

Proof of Theorem rmobida
StepHypRef Expression
1 rmobida.1 . . 3  F/
2 rmobida.2 . . . 4
32pm5.32da 425 . . 3
41, 3mobid 1932 . 2
5 df-rmo 2308 . 2
6 df-rmo 2308 . 2
74, 5, 63bitr4g 212 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wb 98   F/wnf 1346   wcel 1390  wmo 1898  wrmo 2303
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-17 1416  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-eu 1900  df-mo 1901  df-rmo 2308
This theorem is referenced by:  rmobidva  2491
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