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Mirrors > Home > ILE Home > Th. List > df-inn | Unicode version |
Description: Definition of the set of positive integers. For naming consistency with the Metamath Proof Explorer usages should refer to dfnn2 8920 instead. (Contributed by Jeff Hankins, 12-Sep-2013.) (Revised by Mario Carneiro, 3-May-2014.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-inn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cn 8918 |
. 2
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2 | c1 7811 |
. . . . . 6
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3 | vx |
. . . . . . 7
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4 | 3 | cv 1352 |
. . . . . 6
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5 | 2, 4 | wcel 2148 |
. . . . 5
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6 | vy |
. . . . . . . . 9
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7 | 6 | cv 1352 |
. . . . . . . 8
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8 | caddc 7813 |
. . . . . . . 8
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9 | 7, 2, 8 | co 5874 |
. . . . . . 7
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10 | 9, 4 | wcel 2148 |
. . . . . 6
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11 | 10, 6, 4 | wral 2455 |
. . . . 5
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12 | 5, 11 | wa 104 |
. . . 4
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13 | 12, 3 | cab 2163 |
. . 3
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14 | 13 | cint 3844 |
. 2
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15 | 1, 14 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: dfnn2 8920 |
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