Theorem pidiv2halves

Description: Adding _pi / 2 to itself gives _pi . See 2halves . (Contributed by David A. Wheeler, 8-Dec-2018)

	Ref	Expression
Assertion	pidiv2halves	$$⊢\left(\frac{\mathrm{\pi }}{2}\right)+\left(\frac{\mathrm{\pi }}{2}\right)=\mathrm{\pi }$$

Proof

Step	Hyp	Ref	Expression
1		picn	$$⊢\mathrm{\pi }\in ℂ$$
2		2halves	$$⊢\mathrm{\pi }\in ℂ\to \left(\frac{\mathrm{\pi }}{2}\right)+\left(\frac{\mathrm{\pi }}{2}\right)=\mathrm{\pi }$$
3	1 2	ax-mp	$$⊢\left(\frac{\mathrm{\pi }}{2}\right)+\left(\frac{\mathrm{\pi }}{2}\right)=\mathrm{\pi }$$