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Theorem cdleme31se2 30865
 Description: Part of proof of Lemma D in [Crawley] p. 113. (Contributed by NM, 3-Apr-2013.)
Hypotheses
Ref Expression
cdleme31se2.e
cdleme31se2.y
Assertion
Ref Expression
cdleme31se2
Distinct variable groups:   ,   ,   ,   ,   ,   ,   ,   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem cdleme31se2
StepHypRef Expression
1 nfcv 2540 . . . . 5
2 nfcv 2540 . . . . 5
3 nfcsb1v 3243 . . . . . 6
4 nfcv 2540 . . . . . 6
5 nfcv 2540 . . . . . 6
63, 4, 5nfov 6063 . . . . 5
71, 2, 6nfov 6063 . . . 4
87a1i 11 . . 3
9 csbeq1a 3219 . . . . 5
10 oveq2 6048 . . . . . 6
1110oveq1d 6055 . . . . 5
129, 11oveq12d 6058 . . . 4
1312oveq2d 6056 . . 3
148, 13csbiegf 3251 . 2
15 cdleme31se2.e . . 3
1615csbeq2i 3237 . 2
17 cdleme31se2.y . 2
1814, 16, 173eqtr4g 2461 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1649   wcel 1721  wnfc 2527  csb 3211  (class class class)co 6040 This theorem is referenced by:  cdlemeg47rv2  30992 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1552  ax-5 1563  ax-17 1623  ax-9 1662  ax-8 1683  ax-6 1740  ax-7 1745  ax-11 1757  ax-12 1946  ax-ext 2385 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1325  df-ex 1548  df-nf 1551  df-sb 1656  df-clab 2391  df-cleq 2397  df-clel 2400  df-nfc 2529  df-ral 2671  df-rex 2672  df-rab 2675  df-v 2918  df-sbc 3122  df-csb 3212  df-dif 3283  df-un 3285  df-in 3287  df-ss 3294  df-nul 3589  df-if 3700  df-sn 3780  df-pr 3781  df-op 3783  df-uni 3976  df-br 4173  df-iota 5377  df-fv 5421  df-ov 6043
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