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Definition df-co 4846
 Description: Define the composition of two classes. Definition 6.6(3) of [TakeutiZaring] p. 24. For example, (ex-co 21699) because (see cos0 12706) and (see df-e 12626). Note that Definition 7 of [Suppes] p. 63 reverses and , uses instead of , and calls the operation "relative product." (Contributed by NM, 4-Jul-1994.)
Assertion
Ref Expression
df-co
Distinct variable groups:   ,,,   ,,,

Detailed syntax breakdown of Definition df-co
StepHypRef Expression
1 cA . . 3
2 cB . . 3
31, 2ccom 4841 . 2
4 vx . . . . . . 7
54cv 1648 . . . . . 6
6 vz . . . . . . 7
76cv 1648 . . . . . 6
85, 7, 2wbr 4172 . . . . 5
9 vy . . . . . . 7
109cv 1648 . . . . . 6
117, 10, 1wbr 4172 . . . . 5
128, 11wa 359 . . . 4
1312, 6wex 1547 . . 3
1413, 4, 9copab 4225 . 2
153, 14wceq 1649 1
 Colors of variables: wff set class This definition is referenced by:  coss1  4987  coss2  4988  nfco  4997  brcog  4998  cnvco  5015  cotr  5205  relco  5327  coundi  5330  coundir  5331  cores  5332  xpco  5373  dffun2  5423  funco  5450  xpcomco  7157  rtrclreclem.trans  25099
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