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Mirrors > Home > ILE Home > Th. List > brstruct | Unicode version |
Description: The structure relation is a relation. (Contributed by Mario Carneiro, 29-Aug-2015.) |
Ref | Expression |
---|---|
brstruct | Struct |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-struct 12333 | . 2 Struct | |
2 | 1 | relopabi 4724 | 1 Struct |
Colors of variables: wff set class |
Syntax hints: w3a 967 wcel 2135 cdif 3108 cin 3110 wss 3111 c0 3404 csn 3570 cxp 4596 cdm 4598 wrel 4603 wfun 5176 cfv 5182 cle 7925 cn 8848 cfz 9935 Struct cstr 12327 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-14 2138 ax-ext 2146 ax-sep 4094 ax-pow 4147 ax-pr 4181 |
This theorem depends on definitions: df-bi 116 df-3an 969 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-ral 2447 df-rex 2448 df-v 2723 df-un 3115 df-in 3117 df-ss 3124 df-pw 3555 df-sn 3576 df-pr 3577 df-op 3579 df-opab 4038 df-xp 4604 df-rel 4605 df-struct 12333 |
This theorem is referenced by: isstruct2im 12341 structex 12343 |
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