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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 3168 | . 2 | |
2 | 1 | ssriv 3071 | 1 |
Colors of variables: wff set class |
Syntax hints: cdif 3038 wss 3041 |
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 588 ax-in2 589 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 df-dif 3043 df-in 3047 df-ss 3054 |
This theorem is referenced by: difssd 3173 difss2 3174 ssdifss 3176 0dif 3404 undif1ss 3407 undifabs 3409 inundifss 3410 undifss 3413 unidif 3738 iunxdif2 3831 difexg 4039 reldif 4629 cnvdif 4915 resdif 5357 fndmdif 5493 swoer 6425 swoord1 6426 swoord2 6427 phplem2 6715 phpm 6727 unfiin 6782 sbthlem2 6814 sbthlemi4 6816 sbthlemi5 6817 difinfinf 6954 pinn 7085 niex 7088 dmaddpi 7101 dmmulpi 7102 lerelxr 7795 fisumss 11129 structcnvcnv 11902 strleund 11974 strleun 11975 strle1g 11976 discld 12232 exmid1stab 13122 |
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