Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > ssun2 | Unicode version |
Description: Subclass relationship for union of classes. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
ssun2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssun1 3209 | . 2 | |
2 | uncom 3190 | . 2 | |
3 | 1, 2 | sseqtri 3101 | 1 |
Colors of variables: wff set class |
Syntax hints: cun 3039 wss 3041 |
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-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 df-un 3045 df-in 3047 df-ss 3054 |
This theorem is referenced by: ssun4 3212 elun2 3214 unv 3370 un00 3379 snsspr2 3639 snsstp3 3642 unexb 4333 rnexg 4774 brtpos0 6117 ac6sfi 6760 caserel 6940 pnfxr 7786 ltrelxr 7793 un0mulcl 8979 fsumsplit 11144 bdunexb 13045 |
Copyright terms: Public domain | W3C validator |