Definition df-mi 9696

Description: Define multiplication on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 9942, and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995.) (New usage is discouraged.)

Assertion

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

Detailed syntax breakdown of Definition df-mi

Step	Hyp	Ref	Expression
1		cmi 9668	. 2 class ·N
2		comu 7558	. . 3 class ·𝑜
3		cnpi 9666	. . . 4 class N
4	3, 3	cxp 5112	. . 3 class (N × N)
5	2, 4	cres 5116	. 2 class ( ·𝑜 ↾ (N × N))
6	1, 5	wceq 1483	1 wff ·N = ( ·𝑜 ↾ (N × N))

This definition is referenced by:  mulpiord  9707  dmmulpi  9713