Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > xpss1 | Unicode version |
Description: Subset relation for cross product. (Contributed by Jeff Hankins, 30-Aug-2009.) |
Ref | Expression |
---|---|
xpss1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssid 3087 | . 2 | |
2 | xpss12 4616 | . 2 | |
3 | 1, 2 | mpan2 421 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wss 3041 cxp 4507 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-in 3047 df-ss 3054 df-opab 3960 df-xp 4515 |
This theorem is referenced by: ssres2 4816 ssxp1 4945 funssxp 5262 tposssxp 6114 tpostpos2 6130 tfrlemibfn 6193 tfr1onlembfn 6209 tfrcllembfn 6222 enq0enq 7207 tx1cn 12349 |
Copyright terms: Public domain | W3C validator |