Description: A number times 2. (Contributed by Mario Carneiro, 27-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypothesis | 2timesd.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℂ ) | |
Assertion | times2d | ⊢ ( 𝜑 → ( 𝐴 · 2 ) = ( 𝐴 + 𝐴 ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2timesd.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℂ ) | |
2 | times2 | ⊢ ( 𝐴 ∈ ℂ → ( 𝐴 · 2 ) = ( 𝐴 + 𝐴 ) ) | |
3 | 1 2 | syl | ⊢ ( 𝜑 → ( 𝐴 · 2 ) = ( 𝐴 + 𝐴 ) ) |