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| Mirrors > Home > ILE Home > Th. List > df-lti | GIF version | ||
| Description: Define 'less than' on positive integers. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by NM, 6-Feb-1996.) |
| Ref | Expression |
|---|---|
| df-lti | ⊢ <N = ( E ∩ (N × N)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | clti 7342 | . 2 class <N | |
| 2 | cep 4322 | . . 3 class E | |
| 3 | cnpi 7339 | . . . 4 class N | |
| 4 | 3, 3 | cxp 4661 | . . 3 class (N × N) |
| 5 | 2, 4 | cin 3156 | . 2 class ( E ∩ (N × N)) |
| 6 | 1, 5 | wceq 1364 | 1 wff <N = ( E ∩ (N × N)) |
| Colors of variables: wff set class |
| This definition is referenced by: ltpiord 7386 ltrelpi 7391 |
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