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 ) )