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Mirrors > Home > ILE Home > Th. List > inteqi | Unicode version |
Description: Equality inference for class intersection. (Contributed by NM, 2-Sep-2003.) |
Ref | Expression |
---|---|
inteqi.1 |
Ref | Expression |
---|---|
inteqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | inteqi.1 | . 2 | |
2 | inteq 3774 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 cint 3771 |
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 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-ral 2421 df-int 3772 |
This theorem is referenced by: elintrab 3783 ssintrab 3794 intmin2 3797 intsng 3805 intexrabim 4078 op1stb 4399 bm2.5ii 4412 dfiin3g 4797 op2ndb 5022 bj-dfom 13131 bj-omind 13132 |
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