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Mirrors > Home > MPE Home > Th. List > baseid | Structured version Unicode version |
Description: Utility theorem: index-independent form of df-base 14290. (Contributed by NM, 20-Oct-2012.) |
Ref | Expression |
---|---|
baseid |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-base 14290 |
. 2
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2 | 1nn 10437 |
. 2
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3 | 1, 2 | ndxid 14306 |
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-8 1760 ax-9 1762 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1952 ax-ext 2430 ax-sep 4514 ax-nul 4522 ax-pow 4571 ax-pr 4632 ax-un 6475 ax-cnex 9442 ax-resscn 9443 ax-1cn 9444 ax-icn 9445 ax-addcl 9446 ax-addrcl 9447 ax-mulcl 9448 ax-mulrcl 9449 ax-i2m1 9454 ax-1ne0 9455 ax-rrecex 9458 ax-cnre 9459 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-3or 966 df-3an 967 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-eu 2264 df-mo 2265 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2601 df-ne 2646 df-ral 2800 df-rex 2801 df-reu 2802 df-rab 2804 df-v 3073 df-sbc 3288 df-csb 3390 df-dif 3432 df-un 3434 df-in 3436 df-ss 3443 df-pss 3445 df-nul 3739 df-if 3893 df-pw 3963 df-sn 3979 df-pr 3981 df-tp 3983 df-op 3985 df-uni 4193 df-iun 4274 df-br 4394 df-opab 4452 df-mpt 4453 df-tr 4487 df-eprel 4733 df-id 4737 df-po 4742 df-so 4743 df-fr 4780 df-we 4782 df-ord 4823 df-on 4824 df-lim 4825 df-suc 4826 df-xp 4947 df-rel 4948 df-cnv 4949 df-co 4950 df-dm 4951 df-rn 4952 df-res 4953 df-ima 4954 df-iota 5482 df-fun 5521 df-fn 5522 df-f 5523 df-f1 5524 df-fo 5525 df-f1o 5526 df-fv 5527 df-ov 6196 df-om 6580 df-recs 6935 df-rdg 6969 df-nn 10427 df-ndx 14288 df-slot 14289 df-base 14290 |
This theorem is referenced by: ressbas 14339 2strbas 14386 rngbase 14397 srngbase 14405 lmodbase 14414 ipsbase 14421 phlbase 14431 topgrpbas 14439 otpsbas 14446 odrngbas 14457 prdsval 14504 prdsbas 14506 imasbas 14561 oppcbas 14768 rescbas 14853 rescabs 14857 fucbas 14981 setcbas 15057 catcbas 15076 xpcbas 15099 odubas 15414 ipobas 15436 grpss 15670 islidl 17408 lidlrsppropd 17427 rspsn 17451 psrbas 17563 psrbasOLD 17564 cnfldbas 17940 thlbas 18239 matbas 18432 tuslem 19967 setsmsbas 20175 trkgbas 23031 eengbas 23372 signswbase 27092 algbase 29676 |
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