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 
|- ( ph -> A e. CC )
Assertion exp1d 
|- ( ph -> ( A ^ 1 ) = A )

Proof

Step Hyp Ref Expression
1 expcld.1 
 |-  ( ph -> A e. CC )
2 exp1 
 |-  ( A e. CC -> ( A ^ 1 ) = A )
3 1 2 syl 
 |-  ( ph -> ( A ^ 1 ) = A )