MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  rmobidva Unicode version

Theorem rmobidva 3046
Description: Formula-building rule for restricted existential quantifier (deduction rule). (Contributed by NM, 16-Jun-2017.)
Hypothesis
Ref Expression
rmobidva.1
Assertion
Ref Expression
rmobidva
Distinct variable group:   ,

Proof of Theorem rmobidva
StepHypRef Expression
1 nfv 1707 . 2
2 rmobidva.1 . 2
31, 2rmobida 3045 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  /\wa 369  e.wcel 1818  E*wrmo 2810
This theorem is referenced by:  rmobidv  3047  brdom7disj  8930
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
  Copyright terms: Public domain W3C validator