Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 11966 | . 2 Struct | |
2 | 1 | relopabi 4665 | 1 Struct |
Colors of variables: wff set class |
Syntax hints: w3a 962 wcel 1480 cdif 3068 cin 3070 wss 3071 c0 3363 csn 3527 cxp 4537 cdm 4539 wrel 4544 wfun 5117 cfv 5123 cle 7806 cn 8725 cfz 9795 Struct cstr 11960 |
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-opab 3990 df-xp 4545 df-rel 4546 df-struct 11966 |
This theorem is referenced by: isstruct2im 11974 structex 11976 |
Copyright terms: Public domain | W3C validator |