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Definition df-i1p 6450
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 } ,  {  |  1Q  <Q  } >.
Distinct variable group:   , l

Detailed syntax breakdown of Definition df-i1p
StepHypRef Expression
1 c1p 6276 . 2  1P
2 vl . . . . . 6  setvar  l
32cv 1241 . . . . 5  l
4 c1q 6265 . . . . 5  1Q
5 cltq 6269 . . . . 5  <Q
63, 4, 5wbr 3755 . . . 4  l  <Q  1Q
76, 2cab 2023 . . 3  { l  |  l  <Q  1Q }
8 vu . . . . . 6  setvar
98cv 1241 . . . . 5
104, 9, 5wbr 3755 . . . 4  1Q  <Q
1110, 8cab 2023 . . 3  {  |  1Q  <Q  }
127, 11cop 3370 . 2  <. { l  |  l  <Q  1Q } ,  {  |  1Q  <Q  } >.
131, 12wceq 1242 1  1P  <. { l  |  l 
<Q  1Q } ,  {  |  1Q  <Q  } >.
Colors of variables: wff set class
This definition is referenced by:  1pr  6535  1prl  6536  1pru  6537  addnqpr1  6543  pitonnlem1  6741
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