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Definition df-i1p 6622
Description: Define the positive real constant 1. This is a "temporary" set used in the construction of complex numbers and is intended to be used only by the construction. (Contributed by Jim Kingdon, 25-Sep-2019.)
Assertion
Ref Expression
df-i1p  |-  1P  =  <. { l  |  l 
<Q  1Q } ,  {
u  |  1Q  <Q  u } >.
Distinct variable group:    u, l

Detailed syntax breakdown of Definition df-i1p
StepHypRef Expression
1 c1p 6447 . 2  class  1P
2 vl . . . . . 6  setvar  l
32cv 1258 . . . . 5  class  l
4 c1q 6436 . . . . 5  class  1Q
5 cltq 6440 . . . . 5  class  <Q
63, 4, 5wbr 3791 . . . 4  wff  l  <Q  1Q
76, 2cab 2042 . . 3  class  { l  |  l  <Q  1Q }
8 vu . . . . . 6  setvar  u
98cv 1258 . . . . 5  class  u
104, 9, 5wbr 3791 . . . 4  wff  1Q  <Q  u
1110, 8cab 2042 . . 3  class  { u  |  1Q  <Q  u }
127, 11cop 3405 . 2  class  <. { l  |  l  <Q  1Q } ,  { u  |  1Q  <Q  u } >.
131, 12wceq 1259 1  wff  1P  =  <. { l  |  l 
<Q  1Q } ,  {
u  |  1Q  <Q  u } >.
Colors of variables: wff set class
This definition is referenced by:  1pr  6709  1prl  6710  1pru  6711  addnqpr1  6717  caucvgsr  6943  pitonnlem1  6978  recidpipr  6989  nntopi  7025
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