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Definition df-phtpc 19048
 Description: Define the function which takes a topology and returns the path homotopy relation on that topology. Definition of [Hatcher] p. 25. (Contributed by Jeff Madsen, 2-Sep-2009.) (Revised by Mario Carneiro, 7-Jun-2014.)
Assertion
Ref Expression
df-phtpc
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-phtpc
StepHypRef Expression
1 cphtpc 19025 . 2
2 vx . . 3
3 ctop 16989 . . 3
4 vf . . . . . . . 8
54cv 1652 . . . . . . 7
6 vg . . . . . . . 8
76cv 1652 . . . . . . 7
85, 7cpr 3839 . . . . . 6
9 cii 18936 . . . . . . 7
102cv 1652 . . . . . . 7
11 ccn 17319 . . . . . . 7
129, 10, 11co 6110 . . . . . 6
138, 12wss 3306 . . . . 5
14 cphtpy 19024 . . . . . . . 8
1510, 14cfv 5483 . . . . . . 7
165, 7, 15co 6110 . . . . . 6
17 c0 3613 . . . . . 6
1816, 17wne 2605 . . . . 5
1913, 18wa 360 . . . 4
2019, 4, 6copab 4290 . . 3
212, 3, 20cmpt 4291 . 2
221, 21wceq 1653 1
 Colors of variables: wff set class This definition is referenced by:  phtpcrel  19049  isphtpc  19050
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