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Theorem exlimdvv 1637
Description: Deduction from Theorem 19.23 of [Margaris] p. 90. (Contributed by NM, 31-Jul-1995.)
Hypothesis
Ref Expression
exlimdvv.1 (φ → (ψχ))
Assertion
Ref Expression
exlimdvv (φ → (xyψχ))
Distinct variable groups:   χ,x   φ,x   χ,y   φ,y
Allowed substitution hints:   ψ(x,y)

Proof of Theorem exlimdvv
StepHypRef Expression
1 exlimdvv.1 . . 3 (φ → (ψχ))
21exlimdv 1636 . 2 (φ → (yψχ))
32exlimdv 1636 1 (φ → (xyψχ))
Colors of variables: wff setvar class
Syntax hints:  wi 4  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-ex 1542
This theorem is referenced by:  ncfinlower  4483  sfin112  4529  sfindbl  4530  sfinltfin  4535  funsi  5520  fntxp  5804  fnpprod  5843  fundmen  6043  ce0addcnnul  6179  ce0nnulb  6182  ceclb  6183  fce  6188  fnfrec  6320
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