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Mathbox for Jonathan Ben-Naim |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj1259 | Structured version Unicode version |
Description: Technical lemma for bnj60 32356. This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bnj1259.1 |
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bnj1259.2 |
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bnj1259.3 |
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bnj1259.4 |
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bnj1259.5 |
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bnj1259.6 |
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bnj1259.7 |
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Ref | Expression |
---|---|
bnj1259 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj1259.6 |
. 2
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2 | abid 2438 |
. . . 4
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3 | 2 | bnj1238 32103 |
. . 3
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4 | bnj1259.2 |
. . . 4
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5 | bnj1259.3 |
. . . 4
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6 | eqid 2451 |
. . . 4
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7 | eqid 2451 |
. . . 4
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8 | 4, 5, 6, 7 | bnj1234 32307 |
. . 3
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9 | 3, 8 | eleq2s 2559 |
. 2
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10 | 1, 9 | bnj771 32060 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1952 ax-ext 2430 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-3an 967 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2601 df-ral 2800 df-rex 2801 df-rab 2804 df-v 3073 df-dif 3432 df-un 3434 df-in 3436 df-ss 3443 df-nul 3739 df-if 3893 df-sn 3979 df-pr 3981 df-op 3985 df-uni 4193 df-br 4394 df-opab 4452 df-rel 4948 df-cnv 4949 df-co 4950 df-dm 4951 df-res 4953 df-iota 5482 df-fun 5521 df-fn 5522 df-fv 5527 df-bnj17 31978 |
This theorem is referenced by: bnj1253 32311 bnj1286 32313 bnj1280 32314 |
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