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Theorem exlimdd 1749
Description: Existential elimination rule of natural deduction. (Contributed by Mario Carneiro, 9-Feb-2017.)
Hypotheses
Ref Expression
exlimdd.1  F/
exlimdd.2  F/
exlimdd.3
exlimdd.4
Assertion
Ref Expression
exlimdd

Proof of Theorem exlimdd
StepHypRef Expression
1 exlimdd.3 . 2
2 exlimdd.1 . . 3  F/
3 exlimdd.2 . . 3  F/
4 exlimdd.4 . . . 4
54ex 108 . . 3
62, 3, 5exlimd 1485 . 2
71, 6mpd 13 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   F/wnf 1346  wex 1378
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie2 1380  ax-4 1397
This theorem depends on definitions:  df-bi 110  df-nf 1347
This theorem is referenced by:  fvmptdf  5201  ovmpt2df  5574  ltexprlemm  6574
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