Metamath Proof Explorer


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