Description: Two halves make a whole. (Contributed by Mario Carneiro, 27-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypothesis | 2timesd.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℂ ) | |
Assertion | 2halvesd | ⊢ ( 𝜑 → ( ( 𝐴 / 2 ) + ( 𝐴 / 2 ) ) = 𝐴 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2timesd.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℂ ) | |
2 | 2halves | ⊢ ( 𝐴 ∈ ℂ → ( ( 𝐴 / 2 ) + ( 𝐴 / 2 ) ) = 𝐴 ) | |
3 | 1 2 | syl | ⊢ ( 𝜑 → ( ( 𝐴 / 2 ) + ( 𝐴 / 2 ) ) = 𝐴 ) |