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Theorem rexlimd2 2820
 Description: Version of rexlimd 2819 with deduction version of second hypothesis. (Contributed by NM, 21-Jul-2013.) (Revised by Mario Carneiro, 8-Oct-2016.)
Hypotheses
Ref Expression
rexlimd2.1
rexlimd2.2
rexlimd2.3
Assertion
Ref Expression
rexlimd2

Proof of Theorem rexlimd2
StepHypRef Expression
1 rexlimd2.1 . . 3
2 rexlimd2.3 . . 3
31, 2ralrimi 2779 . 2
4 rexlimd2.2 . . 3
5 r19.23t 2812 . . 3
64, 5syl 16 . 2
73, 6mpbid 202 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177  wnf 1553   wcel 1725  wral 2697  wrex 2698 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-11 1761 This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1551  df-nf 1554  df-ral 2702  df-rex 2703
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