Metamath Proof Explorer


Theorem div1i

Description: A number divided by 1 is itself. (Contributed by NM, 9-Jan-2002)

Ref Expression
Hypothesis divclz.1 𝐴 ∈ ℂ
Assertion div1i ( 𝐴 / 1 ) = 𝐴

Proof

Step Hyp Ref Expression
1 divclz.1 𝐴 ∈ ℂ
2 div1 ( 𝐴 ∈ ℂ → ( 𝐴 / 1 ) = 𝐴 )
3 1 2 ax-mp ( 𝐴 / 1 ) = 𝐴