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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > cdlemk41 | Structured version Unicode version |
Description: Part of proof of Lemma K of [Crawley] p. 118. TODO: fix comment. (Contributed by NM, 19-Jul-2013.) |
Ref | Expression |
---|---|
cdlemk41.y |
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Ref | Expression |
---|---|
cdlemk41 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcvd 2615 |
. 2
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2 | cdlemk41.y |
. . 3
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3 | fveq2 5794 |
. . . . 5
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4 | 3 | oveq2d 6211 |
. . . 4
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5 | coeq1 5100 |
. . . . . 6
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6 | 5 | fveq2d 5798 |
. . . . 5
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7 | 6 | oveq2d 6211 |
. . . 4
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8 | 4, 7 | oveq12d 6213 |
. . 3
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9 | 2, 8 | syl5eq 2505 |
. 2
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10 | 1, 9 | csbiegf 3414 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1954 ax-ext 2431 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-3an 967 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-clab 2438 df-cleq 2444 df-clel 2447 df-nfc 2602 df-rex 2802 df-rab 2805 df-v 3074 df-sbc 3289 df-csb 3391 df-dif 3434 df-un 3436 df-in 3438 df-ss 3445 df-nul 3741 df-if 3895 df-sn 3981 df-pr 3983 df-op 3987 df-uni 4195 df-br 4396 df-opab 4454 df-co 4952 df-iota 5484 df-fv 5529 df-ov 6198 |
This theorem is referenced by: cdlemkid2 34887 cdlemkfid3N 34888 cdlemky 34889 cdlemk42yN 34907 |
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