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Definition df-i1p 6442
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 = ⟨{𝑙𝑙 <Q 1Q}, {u ∣ 1Q <Q u}⟩
Distinct variable group:   u,𝑙

Detailed syntax breakdown of Definition df-i1p
StepHypRef Expression
1 c1p 6269 . 2 class 1P
2 vl . . . . . 6 setvar 𝑙
32cv 1241 . . . . 5 class 𝑙
4 c1q 6258 . . . . 5 class 1Q
5 cltq 6262 . . . . 5 class <Q
63, 4, 5wbr 3754 . . . 4 wff 𝑙 <Q 1Q
76, 2cab 2023 . . 3 class {𝑙𝑙 <Q 1Q}
8 vu . . . . . 6 setvar u
98cv 1241 . . . . 5 class u
104, 9, 5wbr 3754 . . . 4 wff 1Q <Q u
1110, 8cab 2023 . . 3 class {u ∣ 1Q <Q u}
127, 11cop 3369 . 2 class ⟨{𝑙𝑙 <Q 1Q}, {u ∣ 1Q <Q u}⟩
131, 12wceq 1242 1 wff 1P = ⟨{𝑙𝑙 <Q 1Q}, {u ∣ 1Q <Q u}⟩
Colors of variables: wff set class
This definition is referenced by:  1pr  6526  1prl  6527  1pru  6528  pitonnlem1  6693
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