Metamath Proof Explorer


Theorem subid1d

Description: Identity law for subtraction. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis negidd.1 ⊢ φ → A ∈ ℂ
Assertion subid1d ⊢ φ → A − 0 = A

Proof

Step Hyp Ref Expression
1 negidd.1 ⊢ φ → A ∈ ℂ
2 subid1 ⊢ A ∈ ℂ → A − 0 = A
3 1 2 syl ⊢ φ → A − 0 = A