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Definition df-co 4890
 Description: Define the composition of two classes. Definition 6.6(3) of [TakeutiZaring] p. 24. For example, (ex-co 21751) because (see cos0 12756) and (see df-e 12676). 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 4885 . 2
4 vx . . . . . . 7
54cv 1652 . . . . . 6
6 vz . . . . . . 7
76cv 1652 . . . . . 6
85, 7, 2wbr 4215 . . . . 5
9 vy . . . . . . 7
109cv 1652 . . . . . 6
117, 10, 1wbr 4215 . . . . 5
128, 11wa 360 . . . 4
1312, 6wex 1551 . . 3
1413, 4, 9copab 4268 . 2
153, 14wceq 1653 1
 Colors of variables: wff set class This definition is referenced by:  coss1  5031  coss2  5032  nfco  5041  brcog  5042  cnvco  5059  cotr  5249  relco  5371  coundi  5374  coundir  5375  cores  5376  xpco  5417  dffun2  5467  funco  5494  xpcomco  7201  rtrclreclem.trans  25151
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