The 4th French and Indian War, fought in the 13 British American colonies and Canada, was part of what greater world conflict?

The Seven Years' War was fought between 1754 and 1763, the main conflict occurring in the seven-year period from 1756 to 1763. It involved every European great power of the time except the Ottoman Empire, and affected Europe, the Americas, West Africa, India, and the Philippines. The conflict split Europe into two coalitions, led by Great Britain on one side and France on the other. For the first time, aiming to curtail Britain and Prussia's ever-growing might, France formed a grand coalition of its own, which ended with failure as Britain rose as the world's predominant power, altering the European balance of power.

In the historiography of some countries, the war is named after combatants in its respective theaters, e.g. the French and Indian War in the United States. In French-speaking Canada, it is known as the War of the Conquest, while it is called the Seven Years' War in English-speaking Canada (North America, 1754–1763), Pomeranian War (with Sweden and Prussia, 1757–1762), Third Carnatic War (on the Indian subcontinent, 1757–1763), and Third Silesian War (with Prussia and Austria, 1756–1763).