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Mathbox for Richard Penner |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > rp-fakeoranass | Structured version Visualization version Unicode version |
Description: A special case where a mixture of or and and appears to conform to a mixed associative law. (Contributed by Richard Penner, 29-Feb-2020.) |
Ref | Expression |
---|---|
rp-fakeoranass |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rp-fakeanorass 36151 |
. 2
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2 | bicom 204 |
. . 3
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3 | ancom 452 |
. . . . 5
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4 | orcom 389 |
. . . . . 6
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5 | 4 | anbi1i 700 |
. . . . 5
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6 | 3, 5 | bitri 253 |
. . . 4
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7 | orcom 389 |
. . . . 5
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8 | ancom 452 |
. . . . . 6
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9 | 8 | orbi2i 522 |
. . . . 5
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10 | 7, 9 | bitri 253 |
. . . 4
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11 | 6, 10 | bibi12i 317 |
. . 3
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12 | 2, 11 | bitri 253 |
. 2
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13 | 1, 12 | bitri 253 |
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 189 df-or 372 df-an 373 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |