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Theorem kur14lem1 23737
 Description: Lemma for kur14 23747. (Contributed by Mario Carneiro, 17-Feb-2015.)
Hypotheses
Ref Expression
kur14lem1.a
kur14lem1.c
kur14lem1.k
Assertion
Ref Expression
kur14lem1

Proof of Theorem kur14lem1
StepHypRef Expression
1 kur14lem1.a . . 3
2 sseq1 3199 . . 3
31, 2mpbiri 224 . 2
4 kur14lem1.c . . . 4
5 kur14lem1.k . . . 4
6 prssi 3771 . . . 4
74, 5, 6mp2an 653 . . 3
8 difeq2 3288 . . . . 5
9 fveq2 5525 . . . . 5
108, 9preq12d 3714 . . . 4
1110sseq1d 3205 . . 3
127, 11mpbiri 224 . 2
133, 12jca 518 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 358   wceq 1623   wcel 1684   cdif 3149   wss 3152  cpr 3641  cfv 5255 This theorem is referenced by:  kur14lem7  23743 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533  ax-5 1544  ax-17 1603  ax-9 1635  ax-8 1643  ax-6 1703  ax-7 1708  ax-11 1715  ax-12 1866  ax-ext 2264 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-3an 936  df-tru 1310  df-ex 1529  df-nf 1532  df-sb 1630  df-clab 2270  df-cleq 2276  df-clel 2279  df-nfc 2408  df-ral 2548  df-rex 2549  df-rab 2552  df-v 2790  df-dif 3155  df-un 3157  df-in 3159  df-ss 3166  df-nul 3456  df-if 3566  df-sn 3646  df-pr 3647  df-op 3649  df-uni 3828  df-br 4024  df-iota 5219  df-fv 5263
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