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Mirrors > Home > NFE Home > Th. List > df-tc | Unicode version |
Description: Define the type-raising operation on a cardinal number. This is the unique cardinal containing the unit power classes of the elements of the given cardinal. Definition adapted from [Rosser] p. 528. (Contributed by Scott Fenton, 24-Feb-2015.) |
Ref | Expression |
---|---|
df-tc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
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2 | 1 | ctc 6094 |
. 2
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3 | vb |
. . . . . 6
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4 | 3 | cv 1641 |
. . . . 5
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5 | cncs 6089 |
. . . . 5
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6 | 4, 5 | wcel 1710 |
. . . 4
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7 | vx |
. . . . . . . . 9
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8 | 7 | cv 1641 |
. . . . . . . 8
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9 | 8 | cpw1 4136 |
. . . . . . 7
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10 | 9 | cnc 6092 |
. . . . . 6
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11 | 4, 10 | wceq 1642 |
. . . . 5
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12 | 11, 7, 1 | wrex 2616 |
. . . 4
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13 | 6, 12 | wa 358 |
. . 3
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14 | 13, 3 | cio 4338 |
. 2
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15 | 2, 14 | wceq 1642 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: tcex 6158 tceq 6159 tccl 6161 eqtc 6162 tcfnex 6245 |
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