Theorem absge0i

Description: Absolute value is nonnegative. (Contributed by NM, 2-Aug-1999)

	Ref	Expression
Hypothesis	absvalsqi.1	⊢ 𝐴 ∈ ℂ
Assertion	absge0i	⊢ 0 ≤ ( abs ‘ 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		absvalsqi.1	⊢ 𝐴 ∈ ℂ
2		absge0	⊢ ( 𝐴 ∈ ℂ → 0 ≤ ( abs ‘ 𝐴 ) )
3	1 2	ax-mp	⊢ 0 ≤ ( abs ‘ 𝐴 )