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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 11054, 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 10780 | . 2 class <N | |
2 | cep 5535 | . . 3 class E | |
3 | cnpi 10777 | . . . 4 class N | |
4 | 3, 3 | cxp 5630 | . . 3 class (N × N) |
5 | 2, 4 | cin 3908 | . 2 class ( E ∩ (N × N)) |
6 | 1, 5 | wceq 1541 | 1 wff <N = ( E ∩ (N × N)) |
Colors of variables: wff setvar class |
This definition is referenced by: ltpiord 10820 ltsopi 10821 ltrelpi 10822 |
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