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Theorem rmobida 3045
 Description: Formula-building rule for restricted existential quantifier (deduction rule). (Contributed by NM, 16-Jun-2017.)
Hypotheses
Ref Expression
rmobida.1
rmobida.2
Assertion
Ref Expression
rmobida

Proof of Theorem rmobida
StepHypRef Expression
1 rmobida.1 . . 3
2 rmobida.2 . . . 4
32pm5.32da 641 . . 3
41, 3mobid 2303 . 2
5 df-rmo 2815 . 2
6 df-rmo 2815 . 2
74, 5, 63bitr4g 288 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  <->wb 184  /\wa 369  F/wnf 1616  e.wcel 1818  E*wmo 2283  E*wrmo 2810 This theorem is referenced by:  rmobidva  3046  reuan  32185 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-12 1854 This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287  df-rmo 2815
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