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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > hbae-o | Structured version Visualization version Unicode version |
Description: All variables are effectively bound in an identical variable specifier. Version of hbae 2150 using ax-c11 32461. (Contributed by NM, 13-May-1993.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
hbae-o |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-c5 32457 |
. . . . 5
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2 | ax-c9 32464 |
. . . . 5
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3 | 1, 2 | syl7 70 |
. . . 4
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4 | ax-c11 32461 |
. . . . 5
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5 | 4 | aecoms-o 32474 |
. . . 4
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6 | ax-c11 32461 |
. . . . . . 7
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7 | 6 | pm2.43i 49 |
. . . . . 6
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8 | ax-c11 32461 |
. . . . . 6
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9 | 7, 8 | syl5 33 |
. . . . 5
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10 | 9 | aecoms-o 32474 |
. . . 4
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11 | 3, 5, 10 | pm2.61ii 170 |
. . 3
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12 | 11 | axc4i-o 32472 |
. 2
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13 | ax-11 1924 |
. 2
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14 | 12, 13 | syl 17 |
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 1673 ax-4 1686 ax-5 1762 ax-6 1809 ax-7 1855 ax-11 1924 ax-c5 32457 ax-c4 32458 ax-c7 32459 ax-c11 32461 ax-c9 32464 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1668 |
This theorem is referenced by: dral1-o 32476 hbnae-o 32501 dral2-o 32503 aev-o 32504 |
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