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Mirrors > Home > MPE Home > Th. List > xorassOLD | Structured version Visualization version Unicode version |
Description: Obsolete proof of xorass 1419 as of 20-Jun-2020. (Contributed by FL, 22-Nov-2010.) (Proof shortened by Andrew Salmon, 8-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
xorassOLD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biass 365 |
. . . . . 6
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2 | 1 | notbii 302 |
. . . . 5
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3 | nbbn 364 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | pm5.18 362 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | 4 | con2bii 338 |
. . . . 5
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6 | 2, 3, 5 | 3bitr4i 285 |
. . . 4
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7 | df-xor 1416 |
. . . . 5
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8 | 7 | bibi1i 320 |
. . . 4
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9 | df-xor 1416 |
. . . . 5
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10 | 9 | bibi2i 319 |
. . . 4
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11 | 6, 8, 10 | 3bitr4i 285 |
. . 3
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12 | 11 | notbii 302 |
. 2
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13 | df-xor 1416 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
14 | df-xor 1416 |
. 2
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15 | 12, 13, 14 | 3bitr4i 285 |
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 190 df-xor 1416 |
This theorem is referenced by: (None) |
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