Theorem efne0

Description: The exponential of a complex number is nonzero. Corollary 15-4.3 of Gleason p. 309. (Contributed by NM, 13-Jan-2006) (Revised by Mario Carneiro, 29-Apr-2014) (Proof shortened by TA, 14-Nov-2025)

	Ref	Expression
Assertion	efne0	$$⊢A\in ℂ\to {\mathrm{e}}^A\ne 0$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢A\in ℂ\to A\in ℂ$$
2	1	efne0d	$$⊢A\in ℂ\to {\mathrm{e}}^A\ne 0$$