Metamath Proof Explorer


Theorem addid2d

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

Ref Expression
Hypothesis muld.1 φ A
Assertion addid2d φ 0 + A = A

Proof

Step Hyp Ref Expression
1 muld.1 φ A
2 addid2 A 0 + A = A
3 1 2 syl φ 0 + A = A