Metamath Proof Explorer


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