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Definition df-phtpc 18490
 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 18467 . 2
2 vx . . 3
3 ctop 16631 . . 3
4 vf . . . . . . . 8
54cv 1622 . . . . . . 7
6 vg . . . . . . . 8
76cv 1622 . . . . . . 7
85, 7cpr 3641 . . . . . 6
9 cii 18379 . . . . . . 7
102cv 1622 . . . . . . 7
11 ccn 16954 . . . . . . 7
129, 10, 11co 5858 . . . . . 6
138, 12wss 3152 . . . . 5
14 cphtpy 18466 . . . . . . . 8
1510, 14cfv 5255 . . . . . . 7
165, 7, 15co 5858 . . . . . 6
17 c0 3455 . . . . . 6
1816, 17wne 2446 . . . . 5
1913, 18wa 358 . . . 4
2019, 4, 6copab 4076 . . 3
212, 3, 20cmpt 4077 . 2
221, 21wceq 1623 1
 Colors of variables: wff set class This definition is referenced by:  phtpcrel  18491  isphtpc  18492
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