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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 7224 | . 2 class <N | |
2 | cep 4270 | . . 3 class E | |
3 | cnpi 7221 | . . . 4 class N | |
4 | 3, 3 | cxp 4607 | . . 3 class (N × N) |
5 | 2, 4 | cin 3120 | . 2 class ( E ∩ (N × N)) |
6 | 1, 5 | wceq 1348 | 1 wff <N = ( E ∩ (N × N)) |
Colors of variables: wff set class |
This definition is referenced by: ltpiord 7268 ltrelpi 7273 |
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