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Mirrors > Home > ILE Home > Th. List > ineq1i | Unicode version |
Description: Equality inference for intersection of two classes. (Contributed by NM, 26-Dec-1993.) |
Ref | Expression |
---|---|
ineq1i.1 |
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Ref | Expression |
---|---|
ineq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ineq1i.1 |
. 2
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2 | ineq1 3344 |
. 2
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3 | 1, 2 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 df-in 3150 |
This theorem is referenced by: in12 3361 inindi 3367 dfrab2 3425 dfrab3 3426 disjpr2 3671 resres 4934 imainrect 5089 ssenen 6869 minmax 11256 xrminmax 11291 nnmindc 12053 nnminle 12054 setsfun 12515 setsfun0 12516 ressressg 12553 tgrest 14053 |
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