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Theorem cdleme31se2 31117
 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 2571 . . . . 5
2 nfcv 2571 . . . . 5
3 nfcsb1v 3275 . . . . . 6
4 nfcv 2571 . . . . . 6
5 nfcv 2571 . . . . . 6
63, 4, 5nfov 6096 . . . . 5
71, 2, 6nfov 6096 . . . 4
87a1i 11 . . 3
9 csbeq1a 3251 . . . . 5
10 oveq2 6081 . . . . . 6
1110oveq1d 6088 . . . . 5
129, 11oveq12d 6091 . . . 4
1312oveq2d 6089 . . 3
148, 13csbiegf 3283 . 2
15 cdleme31se2.e . . 3
1615csbeq2i 3269 . 2
17 cdleme31se2.y . 2
1814, 16, 173eqtr4g 2492 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1652   wcel 1725  wnfc 2558  csb 3243  (class class class)co 6073 This theorem is referenced by:  cdlemeg47rv2  31244 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-ral 2702  df-rex 2703  df-rab 2706  df-v 2950  df-sbc 3154  df-csb 3244  df-dif 3315  df-un 3317  df-in 3319  df-ss 3326  df-nul 3621  df-if 3732  df-sn 3812  df-pr 3813  df-op 3815  df-uni 4008  df-br 4205  df-iota 5410  df-fv 5454  df-ov 6076
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