Metamath Proof Explorer


Theorem mulcl

Description: Alias for ax-mulcl , for naming consistency with mulcli . (Contributed by NM, 10-Mar-2008)

Ref Expression
Assertion mulcl ( ( 𝐴 ∈ ℂ ∧ 𝐵 ∈ ℂ ) → ( 𝐴 · 𝐵 ) ∈ ℂ )

Proof

Step Hyp Ref Expression
1 ax-mulcl ( ( 𝐴 ∈ ℂ ∧ 𝐵 ∈ ℂ ) → ( 𝐴 · 𝐵 ) ∈ ℂ )