Metamath Proof Explorer


Theorem exp1d

Description: Value of a complex number raised to the first power. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis expcld.1 ⊢ φ → A ∈ ℂ
Assertion exp1d ⊢ φ → A 1 = A

Proof

Step Hyp Ref Expression
1 expcld.1 ⊢ φ → A ∈ ℂ
2 exp1 ⊢ A ∈ ℂ → A 1 = A
3 1 2 syl ⊢ φ → A 1 = A