Definition df-archi 29733

Description: A structure said to be Archimedean if it has no infinitesimal elements. (Contributed by Thierry Arnoux, 30-Jan-2018.)

Assertion

Ref	Expression
df-archi	|- Archi = { w | (<<< ` w ) = (/) }

Detailed syntax breakdown of Definition df-archi

Step	Hyp	Ref	Expression
1		carchi 29731	. 2 class Archi
2		vw	. . . . . 6 setvar w
3	2	cv 1482	. . . . 5 class w
4		cinftm 29730	. . . . 5 class <<<
5	3, 4	cfv 5888	. . . 4 class (<<< ` w )
6		c0 3915	. . . 4 class (/)
7	5, 6	wceq 1483	. . 3 wff (<<< ` w ) = (/)
8	7, 2	cab 2608	. 2 class { w | (<<< ` w ) = (/) }
9	1, 8	wceq 1483	1 wff Archi = { w | (<<< ` w ) = (/) }

This definition is referenced by:  isarchi  29736