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 )