![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df2o2 | Unicode version |
Description: Expanded value of the ordinal number 2. (Contributed by NM, 29-Jan-2004.) |
Ref | Expression |
---|---|
df2o2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df2o3 6279 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | df1o2 6278 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 2 | preq2i 3568 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | 1, 3 | eqtri 2133 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 586 ax-in2 587 ax-io 681 ax-5 1404 ax-7 1405 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-10 1464 ax-11 1465 ax-i12 1466 ax-bndl 1467 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 ax-i5r 1496 ax-ext 2095 |
This theorem depends on definitions: df-bi 116 df-tru 1315 df-nf 1418 df-sb 1717 df-clab 2100 df-cleq 2106 df-clel 2109 df-nfc 2242 df-v 2657 df-dif 3037 df-un 3039 df-nul 3328 df-sn 3497 df-pr 3498 df-suc 4251 df-1o 6265 df-2o 6266 |
This theorem is referenced by: 2dom 6651 exmidpw 6753 pr0hash2ex 10448 ss1oel2o 12872 |
Copyright terms: Public domain | W3C validator |