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Theorem rdgeq12 6971
 Description: Equality theorem for the recursive definition generator. (Contributed by Scott Fenton, 28-Apr-2012.)
Assertion
Ref Expression
rdgeq12

Proof of Theorem rdgeq12
StepHypRef Expression
1 rdgeq2 6970 . 2
2 rdgeq1 6969 . 2
31, 2sylan9eqr 2514 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 369   wceq 1370  crdg 6967 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671  ax-6 1710  ax-7 1730  ax-10 1777  ax-11 1782  ax-12 1794  ax-13 1952  ax-ext 2430 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1373  df-ex 1588  df-nf 1591  df-sb 1703  df-clab 2437  df-cleq 2443  df-clel 2446  df-nfc 2601  df-ral 2800  df-rex 2801  df-rab 2804  df-v 3072  df-un 3433  df-if 3892  df-uni 4192  df-br 4393  df-opab 4451  df-mpt 4452  df-iota 5481  df-fv 5526  df-recs 6934  df-rdg 6968 This theorem is referenced by:  seqomeq12  7011  seqeq3  11914  trpredeq1  27820  trpredeq2  27821  trpred0  27836
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