Theorem mullidi

Description: Identity law for multiplication. (Contributed by NM, 14-Feb-1995)

	Ref	Expression
Hypothesis	axi.1	⊢ 𝐴 ∈ ℂ
Assertion	mullidi	⊢ ( 1 · 𝐴 ) = 𝐴

Proof

Step	Hyp	Ref	Expression
1		axi.1	⊢ 𝐴 ∈ ℂ
2		mullid	⊢ ( 𝐴 ∈ ℂ → ( 1 · 𝐴 ) = 𝐴 )
3	1 2	ax-mp	⊢ ( 1 · 𝐴 ) = 𝐴