Database
BASIC REAL AND COMPLEX FUNCTIONS
Basic trigonometry
Properties of pi = 3.14159...
pirp
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negpicn
Metamath Proof Explorer
Ascii
Structured
Theorem
pirp
Description:
_pi
is a positive real.
(Contributed by
Glauco Siliprandi
, 11-Dec-2019)
Ref
Expression
Assertion
pirp
⊢
π ∈ ℝ
+
Proof
Step
Hyp
Ref
Expression
1
pire
⊢
π ∈ ℝ
2
pipos
⊢
0 < π
3
1
2
elrpii
⊢
π ∈ ℝ
+