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Definition df-plpr 8559
 Description: Define pre-addition on signed reals. This is a "temporary" set used in the construction of complex numbers df-c 8623, and is intended to be used only by the construction. From Proposition 9-4.1 of [Gleason] p. 126. (Contributed by NM, 3-Sep-1995.) (New usage is discouraged.)
Assertion
Ref Expression
df-plpr
Distinct variable group:   ,,,,,,

Detailed syntax breakdown of Definition df-plpr
StepHypRef Expression
1 cplpr 8366 . 2
2 vx . . . . . . 7
32cv 1618 . . . . . 6
4 cnp 8361 . . . . . . 7
54, 4cxp 4578 . . . . . 6
63, 5wcel 1621 . . . . 5
7 vy . . . . . . 7
87cv 1618 . . . . . 6
98, 5wcel 1621 . . . . 5
106, 9wa 360 . . . 4
11 vw . . . . . . . . . . . . 13
1211cv 1618 . . . . . . . . . . . 12
13 vv . . . . . . . . . . . . 13
1413cv 1618 . . . . . . . . . . . 12
1512, 14cop 3547 . . . . . . . . . . 11
163, 15wceq 1619 . . . . . . . . . 10
17 vu . . . . . . . . . . . . 13
1817cv 1618 . . . . . . . . . . . 12
19 vf . . . . . . . . . . . . 13
2019cv 1618 . . . . . . . . . . . 12
2118, 20cop 3547 . . . . . . . . . . 11
228, 21wceq 1619 . . . . . . . . . 10
2316, 22wa 360 . . . . . . . . 9
24 vz . . . . . . . . . . 11
2524cv 1618 . . . . . . . . . 10
26 cpp 8363 . . . . . . . . . . . 12
2712, 18, 26co 5710 . . . . . . . . . . 11
2814, 20, 26co 5710 . . . . . . . . . . 11
2927, 28cop 3547 . . . . . . . . . 10
3025, 29wceq 1619 . . . . . . . . 9
3123, 30wa 360 . . . . . . . 8
3231, 19wex 1537 . . . . . . 7
3332, 17wex 1537 . . . . . 6
3433, 13wex 1537 . . . . 5
3534, 11wex 1537 . . . 4
3610, 35wa 360 . . 3
3736, 2, 7, 24copab2 5711 . 2
381, 37wceq 1619 1
 Colors of variables: wff set class This definition is referenced by:  addsrpr  8577
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