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| Mirrors > Home > MPE Home > Th. List > df-lti | Structured version Visualization version GIF version | ||
| Description: Define 'less than' on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 9942, and is intended to be used only by the construction. (Contributed by NM, 6-Feb-1996.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-lti | ⊢ <N = ( E ∩ (N × N)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | clti 9669 | . 2 class <N | |
| 2 | cep 5028 | . . 3 class E | |
| 3 | cnpi 9666 | . . . 4 class N | |
| 4 | 3, 3 | cxp 5112 | . . 3 class (N × N) |
| 5 | 2, 4 | cin 3573 | . 2 class ( E ∩ (N × N)) |
| 6 | 1, 5 | wceq 1483 | 1 wff <N = ( E ∩ (N × N)) |
| Colors of variables: wff setvar class |
| This definition is referenced by: ltpiord 9709 ltsopi 9710 ltrelpi 9711 |
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