Metamath Proof Explorer


Theorem subid1i

Description: Identity law for subtraction. (Contributed by NM, 29-May-1999)

Ref Expression
Hypothesis negidi.1 ⊢ A ∈ ℂ
Assertion subid1i ⊢ A − 0 = A

Proof

Step Hyp Ref Expression
1 negidi.1 ⊢ A ∈ ℂ
2 subid1 ⊢ A ∈ ℂ → A − 0 = A
3 1 2 ax-mp ⊢ A − 0 = A