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Theorem rexrp 11345
 Description: Quantification over positive reals. (Contributed by Mario Carneiro, 21-May-2014.)
Assertion
Ref Expression
rexrp

Proof of Theorem rexrp
StepHypRef Expression
1 elrp 11327 . . . 4
21anbi1i 709 . . 3
3 anass 661 . . 3
42, 3bitri 257 . 2
54rexbii2 2879 1
 Colors of variables: wff setvar class Syntax hints:   wb 189   wa 376   wcel 1904  wrex 2757   class class class wbr 4395  cr 9556  cc0 9557   clt 9693  crp 11325 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1677  ax-4 1690  ax-5 1766  ax-6 1813  ax-7 1859  ax-10 1932  ax-11 1937  ax-12 1950  ax-13 2104  ax-ext 2451 This theorem depends on definitions:  df-bi 190  df-or 377  df-an 378  df-3an 1009  df-tru 1455  df-ex 1672  df-nf 1676  df-sb 1806  df-clab 2458  df-cleq 2464  df-clel 2467  df-nfc 2601  df-rex 2762  df-rab 2765  df-v 3033  df-dif 3393  df-un 3395  df-in 3397  df-ss 3404  df-nul 3723  df-if 3873  df-sn 3960  df-pr 3962  df-op 3966  df-br 4396  df-rp 11326 This theorem is referenced by: (None)
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