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Definition df-vol 22496
 Description: Define the Lebesgue measure, which is just the outer measure with a peculiar domain of definition. The property of being Lebesgue-measurable can be expressed as . (Contributed by Mario Carneiro, 17-Mar-2014.)
Assertion
Ref Expression
df-vol
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-vol
StepHypRef Expression
1 cvol 22493 . 2
2 covol 22491 . . 3
3 vy . . . . . . . 8
43cv 1451 . . . . . . 7
54, 2cfv 5589 . . . . . 6
6 vx . . . . . . . . . 10
76cv 1451 . . . . . . . . 9
84, 7cin 3389 . . . . . . . 8
98, 2cfv 5589 . . . . . . 7
104, 7cdif 3387 . . . . . . . 8
1110, 2cfv 5589 . . . . . . 7
12 caddc 9560 . . . . . . 7
139, 11, 12co 6308 . . . . . 6
145, 13wceq 1452 . . . . 5
152ccnv 4838 . . . . . 6
16 cr 9556 . . . . . 6
1715, 16cima 4842 . . . . 5
1814, 3, 17wral 2756 . . . 4
1918, 6cab 2457 . . 3
202, 19cres 4841 . 2
211, 20wceq 1452 1
 Colors of variables: wff setvar class This definition is referenced by:  ismbl  22558  volres  22560
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