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Syntax is fun (don't actually do this)
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| data _⊢_ : List Formula → Formula → Set where | |
| assume : (α : Formula) → [ α ] ⊢ α | |
| arrowintro : ∀{Γ β} → (α : Formula) → Γ ⊢ β | |
| --------------- ⇒+ α | |
| → Γ ∖ α ⊢ α ⇒ β | |
| arrowelim : ∀{Γ₁ Γ₂ α β} → Γ₁ ⊢ α ⇒ β → Γ₂ ⊢ α | |
| --------------------------- ⇒- | |
| → (Γ₁ ++ Γ₂) ⊢ β |
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But actually do do this.