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Mirrors > Home > ILE Home > Th. List > onss | Unicode version |
Description: An ordinal number is a subset of the class of ordinal numbers. (Contributed by NM, 5-Jun-1994.) |
Ref | Expression |
---|---|
onss |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eloni 4297 | . 2 | |
2 | ordsson 4408 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1480 wss 3071 word 4284 con0 4285 |
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 2121 |
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-in 3077 df-ss 3084 df-uni 3737 df-tr 4027 df-iord 4288 df-on 4290 |
This theorem is referenced by: onuni 4410 onssi 4431 tfrexlem 6231 tfri3 6264 rdgivallem 6278 bj-omssonALT 13161 |
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