Metamath Proof Explorer


Theorem cxp1d

Description: Value of the complex power function at one. (Contributed by Mario Carneiro, 30-May-2016)

Ref Expression
Hypothesis cxp0d.1 ⊢ φ → A ∈ ℂ
Assertion cxp1d ⊢ φ → A 1 = A

Proof

Step Hyp Ref Expression
1 cxp0d.1 ⊢ φ → A ∈ ℂ
2 cxp1 ⊢ A ∈ ℂ → A 1 = A
3 1 2 syl ⊢ φ → A 1 = A