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Theorem exlimdh 1807
Description: Deduction from Theorem 19.23 of [Margaris] p. 90. (Contributed by NM, 28-Jan-1997.)
Hypotheses
Ref Expression
exlimdh.1 (φxφ)
exlimdh.2 (χxχ)
exlimdh.3 (φ → (ψχ))
Assertion
Ref Expression
exlimdh (φ → (xψχ))

Proof of Theorem exlimdh
StepHypRef Expression
1 exlimdh.1 . . 3 (φxφ)
21nfi 1551 . 2 xφ
3 exlimdh.2 . . 3 (χxχ)
43nfi 1551 . 2 xχ
5 exlimdh.3 . 2 (φ → (ψχ))
62, 4, 5exlimd 1806 1 (φ → (xψχ))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540  wex 1541
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 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-ex 1542  df-nf 1545
This theorem is referenced by: (None)
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