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Metamath Proof Explorer

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 = ( E ∩ ( N × N ) )

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		clti	⊢ <_N
1		cep	⊢ E
2		cnpi	⊢ N
3	2 2	cxp	⊢ ( N × N )
4	1 3	cin	⊢ ( E ∩ ( N × N ) )
5	0 4	wceq	⊢ <_N = ( E ∩ ( N × N ) )