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Mirrors > Home > HOLE Home > Th. List > wan | Unicode version |
Description: Conjunction type. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
wan |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wv 64 |
. . . . . . 7
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2 | wv 64 |
. . . . . . 7
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3 | wv 64 |
. . . . . . 7
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4 | 1, 2, 3 | wov 72 |
. . . . . 6
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5 | 4 | wl 66 |
. . . . 5
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6 | wtru 43 |
. . . . . . 7
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7 | 1, 6, 6 | wov 72 |
. . . . . 6
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8 | 7 | wl 66 |
. . . . 5
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9 | 5, 8 | weqi 76 |
. . . 4
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10 | 9 | wl 66 |
. . 3
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11 | 10 | wl 66 |
. 2
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12 | df-an 128 |
. 2
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13 | 11, 12 | eqtypri 81 |
1
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Colors of variables: type var term |
Syntax hints: tv 1
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This theorem was proved from axioms: ax-cb1 29 ax-weq 40 ax-refl 42 ax-wv 63 ax-wl 65 ax-wov 71 ax-eqtypri 80 |
This theorem depends on definitions: df-an 128 |
This theorem is referenced by: wim 137 imval 146 anval 148 dfan2 154 hbct 155 ex 158 axrep 220 axun 222 |
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