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