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Mirrors > Home > NFE Home > Th. List > pm5.17 | Unicode version |
Description: Theorem *5.17 of [WhiteheadRussell] p. 124. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 3-Jan-2013.) |
Ref | Expression |
---|---|
pm5.17 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bicom 191 |
. 2
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2 | dfbi2 609 |
. 2
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3 | orcom 376 |
. . . 4
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4 | df-or 359 |
. . . 4
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5 | 3, 4 | bitr2i 241 |
. . 3
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6 | imnan 411 |
. . 3
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7 | 5, 6 | anbi12i 678 |
. 2
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8 | 1, 2, 7 | 3bitrri 263 |
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: nbi2 862 |
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