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Theorem exlimddv 1638
Description: Existential elimination rule of natural deduction. (Contributed by Mario Carneiro, 15-Jun-2016.)
Hypotheses
Ref Expression
exlimddv.1
exlimddv.2
Assertion
Ref Expression
exlimddv
Distinct variable groups:   ,   ,
Allowed substitution hint:   ()

Proof of Theorem exlimddv
StepHypRef Expression
1 exlimddv.1 . 2
2 exlimddv.2 . . . 4
32ex 423 . . 3
43exlimdv 1636 . 2
51, 4mpd 14 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358  wex 1541
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
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542
This theorem is referenced by: (None)
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