-- Maclain Hunter: Conditional Determinism
-- Exact authored source SHA-256: d17a3726a9531ad56a817bc94a22f0200baa806232abd05e31238c3b3d0fb2c9
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem conditional_returns_declared_branch {α : Type} (condition : Bool) (t e : α) :
    (if condition then t else e) = t ∨ (if condition then t else e) = e := by
  cases condition
  · exact Or.inr rfl
  · exact Or.inl rfl
#print axioms conditional_returns_declared_branch

end HunterAuthored