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Theorem esumeq2dv 27924
 Description: Equality deduction for extended sum. (Contributed by Thierry Arnoux, 2-Jan-2017.)
Hypothesis
Ref Expression
esumeq2dv.1
Assertion
Ref Expression
esumeq2dv Σ* Σ*
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem esumeq2dv
StepHypRef Expression
1 nfv 1694 . 2
2 esumeq2dv.1 . . 3
32ralrimiva 2857 . 2
41, 3esumeq2d 27923 1 Σ* Σ*
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 369   wceq 1383   wcel 1804  Σ*cesum 27913 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1605  ax-4 1618  ax-5 1691  ax-6 1734  ax-7 1776  ax-10 1823  ax-11 1828  ax-12 1840  ax-13 1985  ax-ext 2421 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 976  df-tru 1386  df-ex 1600  df-nf 1604  df-sb 1727  df-clab 2429  df-cleq 2435  df-clel 2438  df-nfc 2593  df-ral 2798  df-rex 2799  df-rab 2802  df-v 3097  df-dif 3464  df-un 3466  df-in 3468  df-ss 3475  df-nul 3771  df-if 3927  df-sn 4015  df-pr 4017  df-op 4021  df-uni 4235  df-br 4438  df-opab 4496  df-mpt 4497  df-iota 5541  df-fv 5586  df-ov 6284  df-esum 27914 This theorem is referenced by:  esumeq2sdv  27925  esumle  27938  esummulc1  27960  esummulc2  27961  esumdivc  27962  measinb  28065  measres  28066  measdivcstOLD  28068  measdivcst  28069  cntmeas  28070  ddemeas  28081  omsval  28137  totprobd  28238
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