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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > eel2122old | Structured version Visualization version Unicode version |
Description: el2122old 37101 without virtual deductions. (Contributed by Alan Sare, 13-Jun-2015.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eel2122old.1 |
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eel2122old.2 |
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eel2122old.3 |
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eel2122old.4 |
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Ref | Expression |
---|---|
eel2122old |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eel2122old.3 |
. . . . . 6
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2 | eel2122old.2 |
. . . . . . 7
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3 | eel2122old.1 |
. . . . . . . 8
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4 | eel2122old.4 |
. . . . . . . . 9
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5 | 4 | 3exp 1209 |
. . . . . . . 8
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6 | 3, 5 | syl 17 |
. . . . . . 7
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7 | 2, 6 | syl5 33 |
. . . . . 6
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8 | 1, 7 | syl7 70 |
. . . . 5
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9 | 8 | ex 440 |
. . . 4
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10 | 9 | pm2.43d 50 |
. . 3
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11 | 10 | pm2.43d 50 |
. 2
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12 | 11 | imp 435 |
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 190 df-an 377 df-3an 988 |
This theorem is referenced by: el2122old 37101 suctrALTcf 37316 |
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