Metamath Proof Explorer


Theorem div1d

Description: A number divided by 1 is itself. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis div1d.1 ⊢ φ → A ∈ ℂ
Assertion div1d ⊢ φ → A 1 = A

Proof

Step Hyp Ref Expression
1 div1d.1 ⊢ φ → A ∈ ℂ
2 div1 ⊢ A ∈ ℂ → A 1 = A
3 1 2 syl ⊢ φ → A 1 = A