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Mirrors > Home > ILE Home > Th. List > pwex | Unicode version |
Description: Power set axiom expressed in class notation. (Contributed by NM, 21-Jun-1993.) |
Ref | Expression |
---|---|
pwex.1 |
Ref | Expression |
---|---|
pwex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pwex.1 | . 2 | |
2 | pwexg 4141 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 2128 cvv 2712 cpw 3543 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-14 2131 ax-ext 2139 ax-sep 4082 ax-pow 4135 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-v 2714 df-in 3108 df-ss 3115 df-pw 3545 |
This theorem is referenced by: p0ex 4149 pp0ex 4150 ord3ex 4151 abexssex 6073 fnpm 6601 exmidpw 6853 pw1on 7161 pw1dom2 7162 pw1nel3 7166 sucpw1ne3 7167 sucpw1nel3 7168 npex 7393 axcnex 7779 pnfxr 7930 mnfxr 7934 ixxex 9803 istopon 12422 dmtopon 12432 fncld 12509 |
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