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Mirrors > Home > ILE Home > Th. List > ssun4 | Unicode version |
Description: Subclass law for union of classes. (Contributed by NM, 14-Aug-1994.) |
Ref | Expression |
---|---|
ssun4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssun2 3235 | . 2 | |
2 | sstr2 3099 | . 2 | |
3 | 1, 2 | mpi 15 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 cun 3064 wss 3066 |
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-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 |
This theorem is referenced by: ssun 3250 xpsspw 4646 |
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