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Mirrors > Home > MPE Home > Th. List > df-ina | Structured version Visualization version Unicode version |
Description: An ordinal is strongly inaccessible iff it is a regular strong limit cardinal, which is to say that it dominates the powersets of every smaller ordinal. (Contributed by Mario Carneiro, 22-Jun-2013.) |
Ref | Expression |
---|---|
df-ina |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cina 9134 |
. 2
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2 | vx |
. . . . . 6
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3 | 2 | cv 1454 |
. . . . 5
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4 | c0 3743 |
. . . . 5
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5 | 3, 4 | wne 2633 |
. . . 4
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6 | ccf 8397 |
. . . . . 6
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7 | 3, 6 | cfv 5601 |
. . . . 5
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8 | 7, 3 | wceq 1455 |
. . . 4
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9 | vy |
. . . . . . . 8
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10 | 9 | cv 1454 |
. . . . . . 7
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11 | 10 | cpw 3963 |
. . . . . 6
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12 | csdm 7594 |
. . . . . 6
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13 | 11, 3, 12 | wbr 4416 |
. . . . 5
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14 | 13, 9, 3 | wral 2749 |
. . . 4
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15 | 5, 8, 14 | w3a 991 |
. . 3
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16 | 15, 2 | cab 2448 |
. 2
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17 | 1, 16 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: elina 9138 |
Copyright terms: Public domain | W3C validator |