![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > eloni | Unicode version |
Description: An ordinal number has the ordinal property. (Contributed by NM, 5-Jun-1994.) |
Ref | Expression |
---|---|
eloni |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elong 4303 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | ibi 175 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
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 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-ral 2422 df-rex 2423 df-v 2691 df-in 3082 df-ss 3089 df-uni 3745 df-tr 4035 df-iord 4296 df-on 4298 |
This theorem is referenced by: elon2 4306 onelon 4314 onin 4316 onelss 4317 ontr1 4319 onordi 4356 onss 4417 suceloni 4425 sucelon 4427 onsucmin 4431 onsucelsucr 4432 onintonm 4441 ordsucunielexmid 4454 onsucuni2 4487 nnord 4533 tfrlem1 6213 tfrlemisucaccv 6230 tfrlemibfn 6233 tfrlemiubacc 6235 tfrexlem 6239 tfr1onlemsucfn 6245 tfr1onlemsucaccv 6246 tfr1onlembfn 6249 tfr1onlemubacc 6251 tfrcllemsucfn 6258 tfrcllemsucaccv 6259 tfrcllembfn 6262 tfrcllemubacc 6264 sucinc2 6350 phplem4on 6769 ordiso 6929 |
Copyright terms: Public domain | W3C validator |