Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > prssi | Unicode version |
Description: A pair of elements of a class is a subset of the class. (Contributed by NM, 16-Jan-2015.) |
Ref | Expression |
---|---|
prssi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | prssg 3542 | . 2 | |
2 | 1 | ibi 174 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wcel 1433 wss 2973 cpr 3399 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-v 2603 df-un 2977 df-in 2979 df-ss 2986 df-sn 3404 df-pr 3405 |
This theorem is referenced by: tpssi 3551 prelpwi 3969 onun2 4234 onintexmid 4315 nnregexmid 4360 en2eqpr 6380 m1expcl2 9498 m1expcl 9499 minmax 10112 1idssfct 10497 bdop 10666 |
Copyright terms: Public domain | W3C validator |