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