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Mirrors > Home > HOLE Home > Th. List > wex | Unicode version |
Description: There exists type. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
wex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wal 134 |
. . . 4
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2 | wim 137 |
. . . . . 6
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3 | wal 134 |
. . . . . . 7
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4 | wv 64 |
. . . . . . . . . 10
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5 | wv 64 |
. . . . . . . . . 10
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6 | 4, 5 | wc 50 |
. . . . . . . . 9
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7 | wv 64 |
. . . . . . . . 9
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8 | 2, 6, 7 | wov 72 |
. . . . . . . 8
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9 | 8 | wl 66 |
. . . . . . 7
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10 | 3, 9 | wc 50 |
. . . . . 6
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11 | 2, 10, 7 | wov 72 |
. . . . 5
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12 | 11 | wl 66 |
. . . 4
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13 | 1, 12 | wc 50 |
. . 3
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14 | 13 | wl 66 |
. 2
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15 | df-ex 131 |
. 2
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16 | 14, 15 | 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-wc 49 ax-wv 63 ax-wl 65 ax-wov 71 ax-eqtypri 80 |
This theorem depends on definitions: df-al 126 df-an 128 df-im 129 df-ex 131 |
This theorem is referenced by: weu 141 exval 143 euval 144 exlimdv2 166 exlimd 183 eximdv 185 alnex 186 exnal1 187 exnal 201 ax9 212 axrep 220 axun 222 |
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