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Mirrors > Home > NFE Home > Th. List > merlem13 | Unicode version |
Description: Step 35 of Meredith's proof of Lukasiewicz axioms from his sole axiom. (Contributed by NM, 14-Dec-2002.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
merlem13 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | merlem12 1418 |
. . . . 5
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2 | merlem12 1418 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | merlem5 1411 |
. . . . . . . 8
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4 | 2, 3 | ax-mp 5 |
. . . . . . 7
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5 | merlem6 1412 |
. . . . . . 7
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6 | 4, 5 | ax-mp 5 |
. . . . . 6
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7 | ax-meredith 1406 |
. . . . . 6
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8 | 6, 7 | ax-mp 5 |
. . . . 5
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9 | 1, 8 | ax-mp 5 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | merlem6 1412 |
. . . 4
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11 | 9, 10 | ax-mp 5 |
. . 3
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12 | merlem11 1417 |
. . 3
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13 | 11, 12 | ax-mp 5 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | ax-meredith 1406 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
15 | 13, 14 | ax-mp 5 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-meredith 1406 |
This theorem is referenced by: luk-1 1420 |
Copyright terms: Public domain | W3C validator |