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Mirrors > Home > ILE Home > Th. List > elab3gf | Unicode version |
Description: Membership in a class abstraction, with a weaker antecedent than elabgf 2796. (Contributed by NM, 6-Sep-2011.) |
Ref | Expression |
---|---|
elab3gf.1 |
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elab3gf.2 |
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elab3gf.3 |
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Ref | Expression |
---|---|
elab3gf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elab3gf.1 |
. . . 4
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2 | elab3gf.2 |
. . . 4
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3 | elab3gf.3 |
. . . 4
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4 | 1, 2, 3 | elabgf 2796 |
. . 3
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5 | 4 | ibi 175 |
. 2
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6 | 1, 2, 3 | elabgf 2796 |
. . . 4
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7 | 6 | imim2i 12 |
. . 3
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8 | bi2 129 |
. . 3
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9 | 7, 8 | syli 37 |
. 2
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10 | 5, 9 | impbid2 142 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 681 ax-5 1406 ax-7 1407 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-10 1466 ax-11 1467 ax-i12 1468 ax-bndl 1469 ax-4 1470 ax-17 1489 ax-i9 1493 ax-ial 1497 ax-i5r 1498 ax-ext 2097 |
This theorem depends on definitions: df-bi 116 df-tru 1317 df-nf 1420 df-sb 1719 df-clab 2102 df-cleq 2108 df-clel 2111 df-nfc 2244 df-v 2659 |
This theorem is referenced by: elab3g 2804 |
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