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Mirrors > Home > ILE Home > Th. List > elisset | Unicode version |
Description: An element of a class exists. (Contributed by NM, 1-May-1995.) |
Ref | Expression |
---|---|
elisset |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 2671 | . 2 | |
2 | isset 2666 | . 2 | |
3 | 1, 2 | sylib 121 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1316 wex 1453 wcel 1465 cvv 2660 |
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 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-v 2662 |
This theorem is referenced by: elex22 2675 elex2 2676 ceqsalt 2686 ceqsalg 2688 cgsexg 2695 cgsex2g 2696 cgsex4g 2697 vtoclgft 2710 vtocleg 2731 vtoclegft 2732 spc2egv 2749 spc2gv 2750 spc3egv 2751 spc3gv 2752 eqvincg 2783 tpid3g 3608 iinexgm 4049 copsex2t 4137 copsex2g 4138 ralxfr2d 4355 rexxfr2d 4356 fliftf 5668 eloprabga 5826 ovmpt4g 5861 spc2ed 6098 eroveu 6488 supelti 6857 genpassl 7300 genpassu 7301 eqord1 8213 nn1suc 8703 bj-inex 13001 |
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