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Mirrors > Home > ILE Home > Th. List > ineq2d | Unicode version |
Description: Equality deduction for intersection of two classes. (Contributed by NM, 10-Apr-1994.) |
Ref | Expression |
---|---|
ineq1d.1 |
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Ref | Expression |
---|---|
ineq2d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ineq1d.1 |
. 2
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2 | ineq2 3276 |
. 2
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3 | 1, 2 | syl 14 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-v 2691 df-in 3082 |
This theorem is referenced by: disjpr2 3595 rint0 3818 riin0 3892 disji2 3930 xpriindim 4685 riinint 4808 reseq2 4822 csbresg 4830 resindm 4869 isoselem 5729 zfz1isolem1 10615 fsumm1 11217 ennnfonelemhf1o 11962 restval 12165 basis1 12253 baspartn 12256 eltg 12260 tgdom 12280 ntrval 12318 resttopon2 12386 restopnb 12389 qtopbasss 12729 |
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