Metamath Proof Explorer


Theorem subidi

Description: Subtraction of a number from itself. (Contributed by NM, 26-Nov-1994)

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

Proof

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