MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-lti Structured version   Visualization version   GIF version

Definition df-lti 10291
Description: Define 'less than' on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 10537, and is intended to be used only by the construction. (Contributed by NM, 6-Feb-1996.) (New usage is discouraged.)
Assertion
Ref Expression
df-lti <N = ( E ∩ (N × N))

Detailed syntax breakdown of Definition df-lti
StepHypRef Expression
1 clti 10263 . 2 class <N
2 cep 5463 . . 3 class E
3 cnpi 10260 . . . 4 class N
43, 3cxp 5552 . . 3 class (N × N)
52, 4cin 3939 . 2 class ( E ∩ (N × N))
61, 5wceq 1530 1 wff <N = ( E ∩ (N × N))
Colors of variables: wff setvar class
This definition is referenced by:  ltpiord  10303  ltsopi  10304  ltrelpi  10305
  Copyright terms: Public domain W3C validator