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Mirrors > Home > ILE Home > Th. List > simpri | Unicode version |
Description: Inference eliminating a conjunct. (Contributed by NM, 15-Jun-1994.) |
Ref | Expression |
---|---|
simpri.1 |
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Ref | Expression |
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simpri |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpri.1 |
. 2
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2 | simpr 110 |
. 2
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3 | 1, 2 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() |
This theorem was proved from axioms: ax-mp 5 ax-ia2 107 |
This theorem is referenced by: bi3 119 dfbi2 388 olc 711 mptxor 1424 sb4bor 1835 ordsoexmid 4562 eninl 7096 eninr 7097 pw1ne1 7228 negiso 8912 infrenegsupex 9594 xrnegiso 11270 infxrnegsupex 11271 cos01bnd 11766 cos1bnd 11767 cos2bnd 11768 sincos2sgn 11773 sin4lt0 11774 egt2lt3 11787 ssnnctlemct 12447 slotslfn 12488 strslfvd 12504 strslfv2d 12505 strslfv 12507 strsl0 12511 setsslid 12513 setsslnid 12514 rngplusgg 12595 rngmulrg 12596 srngplusgd 12606 srngmulrd 12607 srnginvld 12608 lmodplusgd 12624 lmodscad 12625 lmodvscad 12626 ipsaddgd 12636 ipsmulrd 12637 ipsscad 12638 ipsvscad 12639 ipsipd 12640 topgrpplusgd 12653 topgrptsetd 12654 prdsex 12718 imasex 12726 imasival 12727 imasbas 12728 imasplusg 12729 imasmulr 12730 fnmgp 13132 mgpvalg 13133 mgpex 13135 mgpbasg 13136 mgpscag 13137 mgptsetg 13138 mgpdsg 13140 mgpress 13141 ring1 13236 opprvalg 13241 opprex 13245 opprsllem 13246 rmodislmod 13441 setsmsdsg 13983 cosz12 14204 sinpi 14209 sinhalfpilem 14215 coshalfpi 14221 sincosq1lem 14249 tangtx 14262 sincos4thpi 14264 tan4thpi 14265 sincos6thpi 14266 sincos3rdpi 14267 pigt3 14268 logltb 14298 lgsdir2lem4 14435 lgsdir2lem5 14436 |
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