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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > eel0TT | Structured version Unicode version |
Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eel0TT.1 |
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eel0TT.2 |
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eel0TT.3 |
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eel0TT.4 |
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Ref | Expression |
---|---|
eel0TT |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eel0TT.3 |
. . 3
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2 | truan 1387 |
. . . 4
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3 | eel0TT.2 |
. . . . 5
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4 | eel0TT.1 |
. . . . . 6
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5 | eel0TT.4 |
. . . . . 6
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6 | 4, 5 | mp3an1 1302 |
. . . . 5
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7 | 3, 6 | sylan 471 |
. . . 4
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8 | 2, 7 | sylbir 213 |
. . 3
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9 | 1, 8 | syl 16 |
. 2
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10 | 9 | trud 1379 |
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 |
This theorem depends on definitions: df-bi 185 df-an 371 df-3an 967 df-tru 1373 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |