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Theorem rexlimddv 2742
Description: Restricted existential elimination rule of natural deduction. (Contributed by Mario Carneiro, 15-Jun-2016.)
Hypotheses
Ref Expression
rexlimddv.1
rexlimddv.2
Assertion
Ref Expression
rexlimddv
Distinct variable groups:   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem rexlimddv
StepHypRef Expression
1 rexlimddv.1 . 2
2 rexlimddv.2 . . 3
32rexlimdvaa 2739 . 2
41, 3mpd 14 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   wcel 1710  wrex 2615
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545  df-ral 2619  df-rex 2620
This theorem is referenced by: (None)
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