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Mirrors > Home > ILE Home > Th. List > eqeltrrid | Unicode version |
Description: B membership and equality inference. (Contributed by NM, 4-Jan-2006.) |
Ref | Expression |
---|---|
eqeltrrid.1 | |
eqeltrrid.2 |
Ref | Expression |
---|---|
eqeltrrid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeltrrid.1 | . . 3 | |
2 | 1 | eqcomi 2143 | . 2 |
3 | eqeltrrid.2 | . 2 | |
4 | 2, 3 | eqeltrid 2226 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 wcel 1480 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-cleq 2132 df-clel 2135 |
This theorem is referenced by: dmrnssfld 4802 cnvexg 5076 opabbrex 5815 offval 5989 resfunexgALT 6008 abrexexg 6016 abrexex2g 6018 opabex3d 6019 oprssdmm 6069 unfidisj 6810 ssfii 6862 djuexb 6929 nqprlu 7355 iccshftr 9777 iccshftl 9779 iccdil 9781 icccntr 9783 mertenslem2 11305 exprmfct 11818 ennnfonelemg 11916 0opn 12173 difopn 12277 tgrest 12338 txbasex 12426 txdis1cn 12447 cnmptid 12450 cnmptc 12451 cnmpt1st 12457 cnmpt2nd 12458 cnmpt2c 12459 hmeoima 12479 hmeocld 12481 fsumcncntop 12725 |
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