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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > lhpat2 | Structured version Visualization version Unicode version |
Description: Create an atom under a co-atom. Part of proof of Lemma B in [Crawley] p. 112. (Contributed by NM, 21-Nov-2012.) |
Ref | Expression |
---|---|
lhpat.l |
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lhpat.j |
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lhpat.m |
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lhpat.a |
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lhpat.h |
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lhpat2.r |
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Ref | Expression |
---|---|
lhpat2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lhpat2.r |
. 2
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2 | lhpat.l |
. . 3
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3 | lhpat.j |
. . 3
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4 | lhpat.m |
. . 3
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5 | lhpat.a |
. . 3
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6 | lhpat.h |
. . 3
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7 | 2, 3, 4, 5, 6 | lhpat 33652 |
. 2
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8 | 1, 7 | syl5eqel 2543 |
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 1679 ax-4 1692 ax-5 1768 ax-6 1815 ax-7 1861 ax-8 1899 ax-9 1906 ax-10 1925 ax-11 1930 ax-12 1943 ax-13 2101 ax-ext 2441 ax-rep 4528 ax-sep 4538 ax-nul 4547 ax-pow 4594 ax-pr 4652 ax-un 6609 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-3an 993 df-tru 1457 df-ex 1674 df-nf 1678 df-sb 1808 df-eu 2313 df-mo 2314 df-clab 2448 df-cleq 2454 df-clel 2457 df-nfc 2591 df-ne 2634 df-ral 2753 df-rex 2754 df-reu 2755 df-rab 2757 df-v 3058 df-sbc 3279 df-csb 3375 df-dif 3418 df-un 3420 df-in 3422 df-ss 3429 df-nul 3743 df-if 3893 df-pw 3964 df-sn 3980 df-pr 3982 df-op 3986 df-uni 4212 df-iun 4293 df-br 4416 df-opab 4475 df-mpt 4476 df-id 4767 df-xp 4858 df-rel 4859 df-cnv 4860 df-co 4861 df-dm 4862 df-rn 4863 df-res 4864 df-ima 4865 df-iota 5564 df-fun 5602 df-fn 5603 df-f 5604 df-f1 5605 df-fo 5606 df-f1o 5607 df-fv 5608 df-riota 6276 df-ov 6317 df-oprab 6318 df-preset 16221 df-poset 16239 df-plt 16252 df-lub 16268 df-glb 16269 df-join 16270 df-meet 16271 df-p0 16333 df-p1 16334 df-lat 16340 df-clat 16402 df-oposet 32786 df-ol 32788 df-oml 32789 df-covers 32876 df-ats 32877 df-atl 32908 df-cvlat 32932 df-hlat 32961 df-lhyp 33597 |
This theorem is referenced by: lhpat3 33655 4atexlemu 33673 4atexlemv 33674 cdleme0a 33821 cdleme0dN 33826 cdleme0e 33827 cdleme02N 33832 cdleme0ex1N 33833 cdleme0moN 33835 cdleme3b 33839 cdleme3c 33840 cdleme3g 33844 cdleme3h 33845 cdleme3 33847 cdleme7aa 33852 cdleme7c 33855 cdleme7d 33856 cdleme7e 33857 cdleme7ga 33858 cdleme7 33859 cdleme9a 33861 cdleme16aN 33869 cdleme11a 33870 cdleme11c 33871 cdleme12 33881 cdleme16b 33889 cdleme16c 33890 cdleme16d 33891 cdleme20h 33927 cdleme20j 33929 cdleme20l2 33932 cdlemeg46rgv 34139 cdlemeg46req 34140 |
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