Definition df-lti 10562

Description: Define 'less than' on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 10808, 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

Step	Hyp	Ref	Expression
1		clti 10534	. 2 class <N
2		cep 5485	. . 3 class E
3		cnpi 10531	. . . 4 class N
4	3, 3	cxp 5578	. . 3 class (N × N)
5	2, 4	cin 3882	. 2 class ( E ∩ (N × N))
6	1, 5	wceq 1539	1 wff <N = ( E ∩ (N × N))

This definition is referenced by:  ltpiord  10574  ltsopi  10575  ltrelpi  10576