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Definition df-plp 9408
 Description: Define addition on positive reals. This is a "temporary" set used in the construction of complex numbers df-c 9545, 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 9286 . 2
2 vx . . 3
3 vy . . 3
4 cnp 9284 . . 3
5 vw . . . . . . . 8
65cv 1443 . . . . . . 7
7 vv . . . . . . . . 9
87cv 1443 . . . . . . . 8
9 vu . . . . . . . . 9
109cv 1443 . . . . . . . 8
11 cplq 9280 . . . . . . . 8
128, 10, 11co 6290 . . . . . . 7
136, 12wceq 1444 . . . . . 6
143cv 1443 . . . . . 6
1513, 9, 14wrex 2738 . . . . 5
162cv 1443 . . . . 5
1715, 7, 16wrex 2738 . . . 4
1817, 5cab 2437 . . 3
192, 3, 4, 4, 18cmpt2 6292 . 2
201, 19wceq 1444 1
 Colors of variables: wff setvar class This definition is referenced by:  plpv  9435  dmplp  9437  addclprlem2  9442  addclpr  9443  addasspr  9447  distrlem1pr  9450  distrlem4pr  9451  distrlem5pr  9452  ltaddpr  9459  ltexprlem6  9466  ltexprlem7  9467
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