Theorem mulass 7012

Description: Alias for ax-mulass 6987, for naming consistency with mulassi 7036. (Contributed by NM, 10-Mar-2008.)

Assertion

Ref	Expression
mulass	⊢ ((𝐴 ∈ ℂ ∧ 𝐵 ∈ ℂ ∧ 𝐶 ∈ ℂ) → ((𝐴 · 𝐵) · 𝐶) = (𝐴 · (𝐵 · 𝐶)))

Proof of Theorem mulass

Step	Hyp	Ref	Expression
1		ax-mulass 6987	1 ⊢ ((𝐴 ∈ ℂ ∧ 𝐵 ∈ ℂ ∧ 𝐶 ∈ ℂ) → ((𝐴 · 𝐵) · 𝐶) = (𝐴 · (𝐵 · 𝐶)))

Syntax hints:   → wi 4   ∧ w3a 885   = wceq 1243   ∈ wcel 1393  (class class class)co 5512  ℂcc 6887   · cmul 6894

This theorem was proved from axioms:  ax-mulass 6987

This theorem is referenced by:  mulid1  7024  mulassi  7036  mulassd  7050  mul12  7142  mul32  7143  mul31  7144  mul4  7145  rimul  7576  divassap  7669  cju  7913  div4p1lem1div2  8177  remim  9460  imval2  9494