Definition df-archi 31433

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 31431	. 2 class Archi
2		vw	. . . . . 6 setvar 𝑤
3	2	cv 1538	. . . . 5 class 𝑤
4		cinftm 31430	. . . . 5 class ⋘
5	3, 4	cfv 6433	. . . 4 class (⋘‘𝑤)
6		c0 4256	. . . 4 class ∅
7	5, 6	wceq 1539	. . 3 wff (⋘‘𝑤) = ∅
8	7, 2	cab 2715	. 2 class {𝑤 ∣ (⋘‘𝑤) = ∅}
9	1, 8	wceq 1539	1 wff Archi = {𝑤 ∣ (⋘‘𝑤) = ∅}

This definition is referenced by:  isarchi  31436