Metamath Proof Explorer


Theorem rexnegd

Description: Minus a real number. (Contributed by Glauco Siliprandi, 2-Jan-2022)

Ref Expression
Hypothesis rexnegd.1 ⊢ φ → A ∈ ℝ
Assertion rexnegd ⊢ φ → − A = − A

Proof

Step Hyp Ref Expression
1 rexnegd.1 ⊢ φ → A ∈ ℝ
2 rexneg ⊢ A ∈ ℝ → − A = − A
3 1 2 syl ⊢ φ → − A = − A