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Mirrors > Home > ILE Home > Th. List > uneq2i | Unicode version |
Description: Inference adding union to the left in a class equality. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
uneq1i.1 |
Ref | Expression |
---|---|
uneq2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | uneq1i.1 | . 2 | |
2 | uneq2 3219 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 cun 3064 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-un 3070 |
This theorem is referenced by: un4 3231 unundir 3233 difun2 3437 difdifdirss 3442 qdass 3615 qdassr 3616 unisuc 4330 iunsuc 4337 fmptap 5603 fvsnun1 5610 rdgival 6272 rdg0 6277 undifdc 6805 exmidfodomrlemim 7050 djuassen 7066 facnn 10466 fac0 10467 fsum2dlemstep 11196 fsumiun 11239 |
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