Definition df-mi 7673

Description: Define multiplication on positive integers. This is a "temporary" set used in the construction of complex numbers and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995.)

Assertion

Ref	Expression
df-mi	⊢ ·N = ( ·o ↾ (N × N))

Detailed syntax breakdown of Definition df-mi

Step	Hyp	Ref	Expression
1		cmi 7641	. 2 class ·N
2		comu 6685	. . 3 class ·o
3		cnpi 7639	. . . 4 class N
4	3, 3	cxp 4772	. . 3 class (N × N)
5	2, 4	cres 4776	. 2 class ( ·o ↾ (N × N))
6	1, 5	wceq 1402	1 wff ·N = ( ·o ↾ (N × N))

This definition is used by:  mulpiord  7684  dmmulpi  7693