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Mirrors > Home > NFE Home > Th. List > 1cex | Unicode version |
Description: Cardinal one is a set. (Contributed by SF, 12-Jan-2015.) |
Ref | Expression |
---|---|
1cex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1c 4081 |
. 2
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2 | isset 2863 |
. . 3
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3 | df-1c 4136 |
. . . . . . 7
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4 | 3 | eqeq2i 2363 |
. . . . . 6
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5 | abeq2 2458 |
. . . . . 6
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6 | 4, 5 | bitri 240 |
. . . . 5
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7 | dfcleq 2347 |
. . . . . . . . 9
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8 | df-sn 3741 |
. . . . . . . . . . . 12
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9 | 8 | abeq2i 2460 |
. . . . . . . . . . 11
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10 | 9 | bibi2i 304 |
. . . . . . . . . 10
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11 | 10 | albii 1566 |
. . . . . . . . 9
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12 | 7, 11 | bitri 240 |
. . . . . . . 8
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13 | 12 | exbii 1582 |
. . . . . . 7
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14 | 13 | bibi2i 304 |
. . . . . 6
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15 | 14 | albii 1566 |
. . . . 5
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16 | 6, 15 | bitri 240 |
. . . 4
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17 | 16 | exbii 1582 |
. . 3
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18 | 2, 17 | bitri 240 |
. 2
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19 | 1, 18 | mpbir 200 |
1
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