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Theorem cdlemk41 31618
 Description: Part of proof of Lemma K of [Crawley] p. 118. TODO: fix comment. (Contributed by NM, 19-Jul-2013.)
Hypothesis
Ref Expression
cdlemk41.y
Assertion
Ref Expression
cdlemk41
Distinct variable groups:   ,   ,   ,   ,   ,   ,   ,   ,
Allowed substitution hints:   ()   ()   ()   ()   ()   ()   (,)   ()

Proof of Theorem cdlemk41
StepHypRef Expression
1 nfcvd 2572 . 2
2 cdlemk41.y . . 3
3 fveq2 5720 . . . . 5
43oveq2d 6089 . . . 4
5 coeq1 5022 . . . . . 6
65fveq2d 5724 . . . . 5
76oveq2d 6089 . . . 4
84, 7oveq12d 6091 . . 3
92, 8syl5eq 2479 . 2
101, 9csbiegf 3283 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1652   wcel 1725  csb 3243  ccnv 4869   ccom 4874  cfv 5446  (class class class)co 6073 This theorem is referenced by:  cdlemkid2  31622  cdlemkfid3N  31623  cdlemky  31624  cdlemk42yN  31642 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-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-opab 4259  df-co 4879  df-iota 5410  df-fv 5454  df-ov 6076
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