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Mirrors > Home > MPE Home > Th. List > eluz2 | Structured version Visualization version Unicode version |
Description: Membership in an upper set of integers. We use the fact that a function's value (under our function value definition) is empty outside of its domain to show . (Contributed by NM, 5-Sep-2005.) (Revised by Mario Carneiro, 3-Nov-2013.) |
Ref | Expression |
---|---|
eluz2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eluzel2 11692 | . 2 | |
2 | simp1 1061 | . 2 | |
3 | eluz1 11691 | . . . 4 | |
4 | ibar 525 | . . . 4 | |
5 | 3, 4 | bitrd 268 | . . 3 |
6 | 3anass 1042 | . . 3 | |
7 | 5, 6 | syl6bbr 278 | . 2 |
8 | 1, 2, 7 | pm5.21nii 368 | 1 |
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