Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  rexlimd2 Structured version   Unicode version

Theorem rexlimd2 2915
 Description: Version of rexlimd 2916 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 2832 . 2
4 rexlimd2.2 . . 3
5 r19.23t 2910 . . 3
64, 5syl 17 . 2
73, 6mpbid 213 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 187  wnf 1663   wcel 1870  wral 2782  wrex 2783 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1665  ax-4 1678  ax-5 1751  ax-6 1797  ax-7 1841  ax-10 1889  ax-12 1907 This theorem depends on definitions:  df-bi 188  df-an 372  df-ex 1660  df-nf 1664  df-ral 2787  df-rex 2788 This theorem is referenced by:  rexlimd  2916  sbcrext  3379
 Copyright terms: Public domain W3C validator