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Mirrors > Home > ILE Home > Th. List > eldifi | Unicode version |
Description: Implication of membership in a class difference. (Contributed by NM, 29-Apr-1994.) |
Ref | Expression |
---|---|
eldifi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eldif 3085 |
. 2
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2 | 1 | simplbi 272 |
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-in1 604 ax-in2 605 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-dif 3078 |
This theorem is referenced by: difss 3207 ssddif 3315 noel 3372 phpm 6767 fidifsnen 6772 elfi2 6868 fiuni 6874 fifo 6876 fzdifsuc 9892 modfzo0difsn 10199 fsum3cvg 11179 summodclem2a 11182 fisumss 11193 fsumlessfi 11261 binomlem 11284 fproddccvg 11373 prodmodclem2a 11377 oddprmge3 11851 2irrexpqap 13103 |
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