Definition df-lti

Description: Define 'less than' on positive integers. This is a "temporary" set used in the construction of complex numbers df-c , and is intended to be used only by the construction. (Contributed by NM, 6-Feb-1996) (New usage is discouraged.)

	Ref	Expression
Assertion	df-lti	$$⊢{<}_{𝑵}=\mathrm{E}\cap \left(𝑵\times 𝑵\right)$$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		clti	$$class{<}_{𝑵}$$
1		cep	$$class\mathrm{E}$$
2		cnpi	$$class𝑵$$
3	2 2	cxp	$$class\left(𝑵\times 𝑵\right)$$
4	1 3	cin	$$class\left(\mathrm{E}\cap \left(𝑵\times 𝑵\right)\right)$$
5	0 4	wceq	$$wff{<}_{𝑵}=\mathrm{E}\cap \left(𝑵\times 𝑵\right)$$