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Definition df-lly 20473
 Description: Define a space that is locally , where is a topological property like "compact", "connected", or "path-connected". A topological space is locally if every neighborhood of a point contains an open sub-neighborhood that is in the subspace topology. (Contributed by Mario Carneiro, 2-Mar-2015.)
Assertion
Ref Expression
df-lly Locally t
Distinct variable group:   ,,,,

Detailed syntax breakdown of Definition df-lly
StepHypRef Expression
1 cA . . 3
21clly 20471 . 2 Locally
3 vy . . . . . . . 8
4 vu . . . . . . . 8
53, 4wel 1870 . . . . . . 7
6 vj . . . . . . . . . 10
76cv 1437 . . . . . . . . 9
84cv 1437 . . . . . . . . 9
9 crest 15312 . . . . . . . . 9 t
107, 8, 9co 6303 . . . . . . . 8 t
1110, 1wcel 1869 . . . . . . 7 t
125, 11wa 371 . . . . . 6 t
13 vx . . . . . . . . 9
1413cv 1437 . . . . . . . 8
1514cpw 3980 . . . . . . 7
167, 15cin 3436 . . . . . 6
1712, 4, 16wrex 2777 . . . . 5 t
1817, 3, 14wral 2776 . . . 4 t
1918, 13, 7wral 2776 . . 3 t
20 ctop 19909 . . 3
2119, 6, 20crab 2780 . 2 t
222, 21wceq 1438 1 Locally t
 Colors of variables: wff setvar class This definition is referenced by:  islly  20475  llyeq  20477
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