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Mirrors > Home > NFE Home > Th. List > merco2 | Unicode version |
Description: A single axiom for
propositional calculus offered by Meredith.
This axiom has 19 symbols, sans auxiliaries. See notes in merco1 1478. (Contributed by Anthony Hart, 7-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
merco2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | falim 1328 |
. . . . . 6
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2 | pm2.04 76 |
. . . . . 6
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3 | 1, 2 | mpi 16 |
. . . . 5
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4 | jarl 155 |
. . . . . 6
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5 | idd 21 |
. . . . . 6
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6 | 4, 5 | jad 154 |
. . . . 5
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7 | looinv 174 |
. . . . 5
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8 | 3, 6, 7 | 3syl 18 |
. . . 4
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9 | 8 | a1dd 42 |
. . 3
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10 | 9 | a1i 10 |
. 2
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11 | 10 | com4l 78 |
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-tru 1319 df-fal 1320 |
This theorem is referenced by: mercolem1 1502 mercolem2 1503 mercolem3 1504 mercolem4 1505 mercolem5 1506 mercolem6 1507 mercolem7 1508 mercolem8 1509 re1tbw4 1513 |
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