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BASIC REAL AND COMPLEX FUNCTIONS
Basic trigonometry
Properties of pi = 3.14159...
2pire
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picn
Metamath Proof Explorer
Ascii
Structured
Theorem
2pire
Description:
( 2 x. _pi )
is a real number.
(Contributed by
Umit Teoman Dogan
, 10-Jun-2026)
Ref
Expression
Assertion
2pire
⊢
( 2 · π ) ∈ ℝ
Proof
Step
Hyp
Ref
Expression
1
2re
⊢
2 ∈ ℝ
2
pire
⊢
π ∈ ℝ
3
1
2
remulcli
⊢
( 2 · π ) ∈ ℝ