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Related theorems GIF version |
| Description: Define 'less than' on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 4034, and is intended to be used only by the construction. |
| Ref | Expression |
|---|---|
| df-lti | ⊢ <N = (E ∩ (N × N)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | clti 3769 | . 2 class <N | |
| 2 | cep 2056 | . . 3 class E | |
| 3 | cnpi 3766 | . . . 4 class N | |
| 4 | 3, 3 | cxp 2408 | . . 3 class (N × N) |
| 5 | 2, 4 | cin 1486 | . 2 class (E ∩ (N × N)) |
| 6 | 1, 5 | wceq 1091 | 1 wff <N = (E ∩ (N × N)) |
| Colors of variables: wff set class |
| This definition is referenced by: ltpiord 3809 ltrelpi 3811 |