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Theorem cdlemk41 31402
 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 2541 . 2
2 cdlemk41.y . . 3
3 fveq2 5687 . . . . 5
43oveq2d 6056 . . . 4
5 coeq1 4989 . . . . . 6
65fveq2d 5691 . . . . 5
76oveq2d 6056 . . . 4
84, 7oveq12d 6058 . . 3
92, 8syl5eq 2448 . 2
101, 9csbiegf 3251 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1649   wcel 1721  csb 3211  ccnv 4836   ccom 4841  cfv 5413  (class class class)co 6040 This theorem is referenced by:  cdlemkid2  31406  cdlemkfid3N  31407  cdlemky  31408  cdlemk42yN  31426 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-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-opab 4227  df-co 4846  df-iota 5377  df-fv 5421  df-ov 6043
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