Theorem remulcl

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

	Ref	Expression
Assertion	remulcl	⊢ ( ( 𝐴 ∈ ℝ ∧ 𝐵 ∈ ℝ ) → ( 𝐴 · 𝐵 ) ∈ ℝ )

Proof

Step	Hyp	Ref	Expression
1		ax-mulrcl	⊢ ( ( 𝐴 ∈ ℝ ∧ 𝐵 ∈ ℝ ) → ( 𝐴 · 𝐵 ) ∈ ℝ )