Theorem efcld

Description: Closure law for the exponential function, deduction version. (Contributed by Thierry Arnoux, 1-Dec-2021)

	Ref	Expression
Hypothesis	efcld.1	|- ( ph -> A e. CC )
Assertion	efcld	|- ( ph -> ( exp ` A ) e. CC )

Proof

Step	Hyp	Ref	Expression
1		efcld.1	|- ( ph -> A e. CC )
2		efcl	|- ( A e. CC -> ( exp ` A ) e. CC )
3	1 2	syl	|- ( ph -> ( exp ` A ) e. CC )