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Mirrors > Home > NFE Home > Th. List > nic-stdmp | Unicode version |
Description: Derive the standard modus ponens from nic-mp 1436. (Contributed by Jeff Hoffman, 18-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
nic-smin |
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nic-smaj |
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Ref | Expression |
---|---|
nic-stdmp |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nic-smin |
. 2
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2 | nic-smaj |
. . 3
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3 | nic-dfim 1434 |
. . . 4
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4 | 3 | nic-bi2 1454 |
. . 3
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5 | 2, 4 | nic-mp 1436 |
. 2
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6 | 1, 5 | nic-mp 1436 |
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 df-nan 1288 |
This theorem is referenced by: (None) |
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