Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > uneq2 | Unicode version |
Description: Equality theorem for the union of two classes. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
uneq2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | uneq1 3090 | . 2 | |
2 | uncom 3087 | . 2 | |
3 | uncom 3087 | . 2 | |
4 | 1, 2, 3 | 3eqtr4g 2097 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1243 cun 2915 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-un 2922 |
This theorem is referenced by: uneq12 3092 uneq2i 3094 uneq2d 3097 uneqin 3188 disjssun 3285 uniprg 3595 sucprc 4149 unexb 4177 bdunexb 10040 bj-unexg 10041 |
Copyright terms: Public domain | W3C validator |