Definition df-mi 3796

Description: Define multiplication on positive integers. This is a "temporary" set used in the construction of complex numbers df-c 4034, and is intended to be used only by the construction.

Assertion

Ref	Expression
df-mi	|- .N = ( .o |` (N. X. N.))

Detailed syntax breakdown of Definition df-mi

Step	Hyp	Ref	Expression
1		cmi 3768	. 2 class .N
2		comu 3102	. . 3 class .o
3		cnpi 3766	. . . 4 class N.
4	3, 3	cxp 2408	. . 3 class (N. X. N.)
5	2, 4	cres 2412	. 2 class ( .o |` (N. X. N.))
6	1, 5	wceq 1091	1 wff .N = ( .o |` (N. X. N.))

This definition is referenced by:  mulpiord 3807  dmmulpi 3813

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