Theorem 2halvesd

Description: Two halves make a whole. (Contributed by Mario Carneiro, 27-May-2016)

	Ref	Expression
Hypothesis	2timesd.1	⊢ ( 𝜑 → 𝐴 ∈ ℂ )
Assertion	2halvesd	⊢ ( 𝜑 → ( ( 𝐴 / 2 ) + ( 𝐴 / 2 ) ) = 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		2timesd.1	⊢ ( 𝜑 → 𝐴 ∈ ℂ )
2		2halves	⊢ ( 𝐴 ∈ ℂ → ( ( 𝐴 / 2 ) + ( 𝐴 / 2 ) ) = 𝐴 )
3	1 2	syl	⊢ ( 𝜑 → ( ( 𝐴 / 2 ) + ( 𝐴 / 2 ) ) = 𝐴 )