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Definition df-archi 28503
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
StepHypRef Expression
1 carchi 28501 . 2  class Archi
2 vw . . . . . 6  setvar  w
32cv 1436 . . . . 5  class  w
4 cinftm 28500 . . . . 5  class <<<
53, 4cfv 5601 . . . 4  class  (<<< `  w
)
6 c0 3761 . . . 4  class  (/)
75, 6wceq 1437 . . 3  wff  (<<< `  w
)  =  (/)
87, 2cab 2407 . 2  class  { w  |  (<<< `  w )  =  (/) }
91, 8wceq 1437 1  wff Archi  =  {
w  |  (<<< `  w
)  =  (/) }
Colors of variables: wff setvar class
This definition is referenced by:  isarchi  28506
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