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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 4166 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 2141 cvv 2730 cpw 3566 |
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 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-14 2144 ax-ext 2152 ax-sep 4107 ax-pow 4160 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-v 2732 df-in 3127 df-ss 3134 df-pw 3568 |
This theorem is referenced by: p0ex 4174 pp0ex 4175 ord3ex 4176 abexssex 6104 fnpm 6634 exmidpw 6886 pw1on 7203 pw1dom2 7204 pw1nel3 7208 sucpw1ne3 7209 sucpw1nel3 7210 npex 7435 axcnex 7821 pnfxr 7972 mnfxr 7976 ixxex 9856 istopon 12805 dmtopon 12815 fncld 12892 |
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