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Theorem r19.29 2754
Description: Theorem 19.29 of [Margaris] p. 90 with restricted quantifiers. (Contributed by NM, 31-Aug-1999.) (Proof shortened by Andrew Salmon, 30-May-2011.)
Assertion
Ref Expression
r19.29

Proof of Theorem r19.29
StepHypRef Expression
1 pm3.2 434 . . . 4
21ralimi 2689 . . 3
3 rexim 2718 . . 3
42, 3syl 15 . 2
54imp 418 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358  wral 2614  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
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-ral 2619  df-rex 2620
This theorem is referenced by:  r19.29r  2755  fun11iun  5305  fmpt  5692
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