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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 2732 | . 2 | |
2 | isset 2727 | . 2 | |
3 | 1, 2 | sylib 121 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1342 wex 1479 wcel 2135 cvv 2721 |
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 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-v 2723 |
This theorem is referenced by: elex22 2736 elex2 2737 ceqsalt 2747 ceqsalg 2749 cgsexg 2756 cgsex2g 2757 cgsex4g 2758 vtoclgft 2771 vtocleg 2792 vtoclegft 2793 spc2egv 2811 spc2gv 2812 spc3egv 2813 spc3gv 2814 eqvincg 2845 tpid3g 3685 iinexgm 4127 copsex2t 4217 copsex2g 4218 ralxfr2d 4436 rexxfr2d 4437 fliftf 5761 eloprabga 5920 ovmpt4g 5955 spc2ed 6192 eroveu 6583 supelti 6958 genpassl 7456 genpassu 7457 eqord1 8372 nn1suc 8867 bj-inex 13630 |
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