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Theorem kur14lem1 29490
 Description: Lemma for kur14 29500. (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 3462 . . 3
31, 2mpbiri 233 . 2
4 difeq2 3554 . . . 4
5 fveq2 5848 . . . 4
64, 5preq12d 4058 . . 3
7 kur14lem1.c . . . 4
8 kur14lem1.k . . . 4
9 prssi 4127 . . . 4
107, 8, 9mp2an 670 . . 3
116, 10syl6eqss 3491 . 2
123, 11jca 530 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 367   wceq 1405   wcel 1842   cdif 3410   wss 3413  cpr 3973  cfv 5568 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1639  ax-4 1652  ax-5 1725  ax-6 1771  ax-7 1814  ax-10 1861  ax-11 1866  ax-12 1878  ax-13 2026  ax-ext 2380 This theorem depends on definitions:  df-bi 185  df-or 368  df-an 369  df-3an 976  df-tru 1408  df-ex 1634  df-nf 1638  df-sb 1764  df-clab 2388  df-cleq 2394  df-clel 2397  df-nfc 2552  df-ral 2758  df-rex 2759  df-rab 2762  df-v 3060  df-dif 3416  df-un 3418  df-in 3420  df-ss 3427  df-nul 3738  df-if 3885  df-sn 3972  df-pr 3974  df-op 3978  df-uni 4191  df-br 4395  df-iota 5532  df-fv 5576 This theorem is referenced by:  kur14lem7  29496
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