Metamath Proof Explorer


Theorem mulridi

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

Ref Expression
Hypothesis axi.1 ⊢ A ∈ ℂ
Assertion mulridi ⊢ A ⋅ 1 = A

Proof

Step Hyp Ref Expression
1 axi.1 ⊢ A ∈ ℂ
2 mulrid ⊢ A ∈ ℂ → A ⋅ 1 = A
3 1 2 ax-mp ⊢ A ⋅ 1 = A