Definition df-mi

Description: Define multiplication 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, 26-Aug-1995) (New usage is discouraged.)

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

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cmi	⊢ ·N
1		comu	⊢ ·o
2		cnpi	⊢ N
3	2 2	cxp	⊢ ( N × N )
4	1 3	cres	⊢ ( ·o ↾ ( N × N ) )
5	0 4	wceq	⊢ ·N = ( ·o ↾ ( N × N ) )