Definition df-archi 30810

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 30808	. 2 class Archi
2		vw	. . . . . 6 setvar 𝑤
3	2	cv 1536	. . . . 5 class 𝑤
4		cinftm 30807	. . . . 5 class ⋘
5	3, 4	cfv 6357	. . . 4 class (⋘‘𝑤)
6		c0 4293	. . . 4 class ∅
7	5, 6	wceq 1537	. . 3 wff (⋘‘𝑤) = ∅
8	7, 2	cab 2801	. 2 class {𝑤 ∣ (⋘‘𝑤) = ∅}
9	1, 8	wceq 1537	1 wff Archi = {𝑤 ∣ (⋘‘𝑤) = ∅}

This definition is referenced by:  isarchi  30813