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Mirrors > Home > NFE Home > Th. List > elimh | Unicode version |
Description: Hypothesis builder for weak deduction theorem. For more information, see the Deduction Theorem link on the Metamath Proof Explorer home page. (Contributed by NM, 26-Jun-2002.) |
Ref | Expression |
---|---|
elimh.1 |
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elimh.2 |
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elimh.3 |
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Ref | Expression |
---|---|
elimh |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dedlema 920 |
. . . 4
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2 | elimh.1 |
. . . 4
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3 | 1, 2 | syl 15 |
. . 3
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4 | 3 | ibi 232 |
. 2
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5 | elimh.3 |
. . 3
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6 | dedlemb 921 |
. . . 4
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7 | elimh.2 |
. . . 4
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8 | 6, 7 | syl 15 |
. . 3
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9 | 5, 8 | mpbii 202 |
. 2
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10 | 4, 9 | pm2.61i 156 |
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 177 df-or 359 df-an 360 |
This theorem is referenced by: con3th 924 |
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