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Mirrors > Home > ILE Home > Th. List > structex | Unicode version |
Description: A structure is a set. (Contributed by AV, 10-Nov-2021.) |
Ref | Expression |
---|---|
structex | Struct |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | brstruct 11978 | . 2 Struct | |
2 | 1 | brrelex1i 4582 | 1 Struct |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1480 cvv 2686 class class class wbr 3929 Struct cstr 11965 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-sep 4046 ax-pow 4098 ax-pr 4131 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-ral 2421 df-rex 2422 df-v 2688 df-un 3075 df-in 3077 df-ss 3084 df-pw 3512 df-sn 3533 df-pr 3534 df-op 3536 df-br 3930 df-opab 3990 df-xp 4545 df-rel 4546 df-struct 11971 |
This theorem is referenced by: strsetsid 12002 setsn0fun 12006 strslfv 12013 strleund 12057 strleun 12058 opelstrsl 12065 |
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