Metamath Proof Explorer


Theorem addlidd

Description: 0 is a left identity for addition. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis muld.1 ⊢ φ → A ∈ ℂ
Assertion addlidd ⊢ φ → 0 + A = A

Proof

Step Hyp Ref Expression
1 muld.1 ⊢ φ → A ∈ ℂ
2 addlid ⊢ A ∈ ℂ → 0 + A = A
3 1 2 syl ⊢ φ → 0 + A = A