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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 8859 instead. (Contributed by Jeff Hankins, 12-Sep-2013.) (Revised by Mario Carneiro, 3-May-2014.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-inn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cn 8857 | . 2 | |
2 | c1 7754 | . . . . . 6 | |
3 | vx | . . . . . . 7 | |
4 | 3 | cv 1342 | . . . . . 6 |
5 | 2, 4 | wcel 2136 | . . . . 5 |
6 | vy | . . . . . . . . 9 | |
7 | 6 | cv 1342 | . . . . . . . 8 |
8 | caddc 7756 | . . . . . . . 8 | |
9 | 7, 2, 8 | co 5842 | . . . . . . 7 |
10 | 9, 4 | wcel 2136 | . . . . . 6 |
11 | 10, 6, 4 | wral 2444 | . . . . 5 |
12 | 5, 11 | wa 103 | . . . 4 |
13 | 12, 3 | cab 2151 | . . 3 |
14 | 13 | cint 3824 | . 2 |
15 | 1, 14 | wceq 1343 | 1 |
Colors of variables: wff set class |
This definition is referenced by: dfnn2 8859 |
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