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Mathbox for Jonathan Ben-Naim |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj1371 | Structured version Visualization version Unicode version |
Description: Technical lemma for bnj60 29943. 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 |
---|---|
bnj1371.1 |
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bnj1371.2 |
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bnj1371.3 |
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bnj1371.4 |
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bnj1371.5 |
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bnj1371.6 |
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bnj1371.7 |
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bnj1371.8 |
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bnj1371.9 |
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bnj1371.10 |
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bnj1371.11 |
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Ref | Expression |
---|---|
bnj1371 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj1371.9 |
. . . . . . 7
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2 | 1 | bnj1436 29723 |
. . . . . 6
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3 | rexex 2843 |
. . . . . 6
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4 | 2, 3 | syl 17 |
. . . . 5
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5 | bnj1371.11 |
. . . . . 6
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6 | 5 | exbii 1726 |
. . . . 5
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7 | 4, 6 | sylib 201 |
. . . 4
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8 | exsimpl 1737 |
. . . 4
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9 | 7, 8 | syl 17 |
. . 3
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10 | bnj1371.3 |
. . . . . . 7
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11 | 10 | abeq2i 2583 |
. . . . . 6
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12 | 11 | bnj1238 29690 |
. . . . 5
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13 | fnfun 5683 |
. . . . 5
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14 | 12, 13 | bnj31 29597 |
. . . 4
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15 | 14 | bnj1265 29696 |
. . 3
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16 | 9, 15 | bnj593 29627 |
. 2
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17 | 16 | bnj937 29655 |
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 1677 ax-4 1690 ax-5 1766 ax-6 1813 ax-7 1859 ax-12 1950 ax-ext 2451 |
This theorem depends on definitions: df-bi 190 df-an 378 df-tru 1455 df-ex 1672 df-sb 1806 df-clab 2458 df-cleq 2464 df-clel 2467 df-ral 2761 df-rex 2762 df-fn 5592 |
This theorem is referenced by: bnj1384 29913 |
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