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Mirrors > Home > ILE Home > Th. List > difss | Unicode version |
Description: Subclass relationship for class difference. Exercise 14 of [TakeutiZaring] p. 22. (Contributed by NM, 29-Apr-1994.) |
Ref | Expression |
---|---|
difss |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eldifi 3198 | . 2 | |
2 | 1 | ssriv 3101 | 1 |
Colors of variables: wff set class |
Syntax hints: cdif 3068 wss 3071 |
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-in1 603 ax-in2 604 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 2121 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-v 2688 df-dif 3073 df-in 3077 df-ss 3084 |
This theorem is referenced by: difssd 3203 difss2 3204 ssdifss 3206 0dif 3434 undif1ss 3437 undifabs 3439 inundifss 3440 undifss 3443 unidif 3768 iunxdif2 3861 difexg 4069 reldif 4659 cnvdif 4945 resdif 5389 fndmdif 5525 swoer 6457 swoord1 6458 swoord2 6459 phplem2 6747 phpm 6759 unfiin 6814 sbthlem2 6846 sbthlemi4 6848 sbthlemi5 6849 difinfinf 6986 pinn 7117 niex 7120 dmaddpi 7133 dmmulpi 7134 lerelxr 7827 fisumss 11161 structcnvcnv 11975 strleund 12047 strleun 12048 strle1g 12049 discld 12305 exmid1stab 13195 |
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