Metamath Proof Explorer


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