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Definition df-pm 7209
Description: Define the partial mapping operation. A partial function from to is a function from a subset of to . The set of all partial functions from to is written (see pmvalg 7217). A notation for this operation apparently does not appear in the literature. We use to distinguish it from the less general set exponentiation operation (df-map 7208) . See mapsspm 7238 for its relationship to set exponentiation. (Contributed by NM, 15-Nov-2007.)
Assertion
Ref Expression
df-pm
Distinct variable group:   , ,

Detailed syntax breakdown of Definition df-pm
StepHypRef Expression
1 cpm 7207 . 2
2 vx . . 3
3 vy . . 3
4 cvv 2967 . . 3
5 vf . . . . . 6
65cv 1368 . . . . 5
76wfun 5407 . . . 4
83cv 1368 . . . . . 6
92cv 1368 . . . . . 6
108, 9cxp 4833 . . . . 5
1110cpw 3855 . . . 4
127, 5, 11crab 2714 . . 3
132, 3, 4, 4, 12cmpt2 6088 . 2
141, 13wceq 1369 1
Colors of variables: wff setvar class
This definition is referenced by:  fnpm  7214  pmvalg  7217
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