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Definition df-plp 9382
Description: Define addition on positive reals. This is a "temporary" set used in the construction of complex numbers df-c 9519, and is intended to be used only by the construction. From Proposition 9-3.5 of [Gleason] p. 123. (Contributed by NM, 18-Nov-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-plp
Distinct variable group:   , , , ,

Detailed syntax breakdown of Definition df-plp
StepHypRef Expression
1 cpp 9260 . 2
2 vx . . 3
3 vy . . 3
4 cnp 9258 . . 3
5 vw . . . . . . . 8
65cv 1394 . . . . . . 7
7 vv . . . . . . . . 9
87cv 1394 . . . . . . . 8
9 vu . . . . . . . . 9
109cv 1394 . . . . . . . 8
11 cplq 9254 . . . . . . . 8
128, 10, 11co 6296 . . . . . . 7
136, 12wceq 1395 . . . . . 6
143cv 1394 . . . . . 6
1513, 9, 14wrex 2808 . . . . 5
162cv 1394 . . . . 5
1715, 7, 16wrex 2808 . . . 4
1817, 5cab 2442 . . 3
192, 3, 4, 4, 18cmpt2 6298 . 2
201, 19wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  plpv  9409  dmplp  9411  addclprlem2  9416  addclpr  9417  addasspr  9421  distrlem1pr  9424  distrlem4pr  9425  distrlem5pr  9426  ltaddpr  9433  ltexprlem6  9440  ltexprlem7  9441
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