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Theoures

Theorems are proven statements in mathematics that confirm a certain relationship or property is always true within a specific system. Think of them as solid, logically verified facts derived from basic assumptions (axioms). For example, the Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. Theorems help mathematicians understand patterns, solve problems, and build new knowledge, serving as foundational truths that support further discovery and reasoning.