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Definition df-ii 22419
Description: Define the unit interval with the Euclidean topology. (Contributed by Jeff Madsen, 2-Sep-2009.) (Revised by Mario Carneiro, 3-Sep-2015.)
Assertion
Ref Expression
df-ii II = (MetOpen‘((abs ∘ − ) ↾ ((0[,]1) × (0[,]1))))

Detailed syntax breakdown of Definition df-ii
StepHypRef Expression
1 cii 22417 . 2 class II
2 cabs 13768 . . . . 5 class abs
3 cmin 10117 . . . . 5 class
42, 3ccom 5032 . . . 4 class (abs ∘ − )
5 cc0 9792 . . . . . 6 class 0
6 c1 9793 . . . . . 6 class 1
7 cicc 12005 . . . . . 6 class [,]
85, 6, 7co 6527 . . . . 5 class (0[,]1)
98, 8cxp 5026 . . . 4 class ((0[,]1) × (0[,]1))
104, 9cres 5030 . . 3 class ((abs ∘ − ) ↾ ((0[,]1) × (0[,]1)))
11 cmopn 19503 . . 3 class MetOpen
1210, 11cfv 5790 . 2 class (MetOpen‘((abs ∘ − ) ↾ ((0[,]1) × (0[,]1))))
131, 12wceq 1474 1 wff II = (MetOpen‘((abs ∘ − ) ↾ ((0[,]1) × (0[,]1))))
Colors of variables: wff setvar class
This definition is referenced by:  iitopon  22421  dfii2  22424  dfii3  22425  lebnumii  22504
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