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Theorem rmobiia 3048
Description: Formula-building rule for restricted existential quantifier (inference rule). (Contributed by NM, 16-Jun-2017.)
Hypothesis
Ref Expression
rmobiia.1
Assertion
Ref Expression
rmobiia

Proof of Theorem rmobiia
StepHypRef Expression
1 rmobiia.1 . . . 4
21pm5.32i 637 . . 3
32mobii 2307 . 2
4 df-rmo 2815 . 2
5 df-rmo 2815 . 2
63, 4, 53bitr4i 277 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  /\wa 369  e.wcel 1818  E*wmo 2283  E*wrmo 2810
This theorem is referenced by:  rmobii  3049
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-tru 1398  df-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287  df-rmo 2815
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