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Mirrors > Home > NFE Home > Th. List > mpan2d | Unicode version |
Description: A deduction based on modus ponens. (Contributed by NM, 12-Dec-2004.) |
Ref | Expression |
---|---|
mpan2d.1 |
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mpan2d.2 |
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Ref | Expression |
---|---|
mpan2d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpan2d.1 |
. 2
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2 | mpan2d.2 |
. . 3
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3 | 2 | exp3a 425 |
. 2
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4 | 1, 3 | mpid 37 |
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-an 360 |
This theorem is referenced by: mpand 656 mpan2i 658 ltfintri 4467 leconnnc 6219 nclenn 6250 ncslesuc 6268 nchoicelem4 6293 |
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