In a right angled triangle, the square of the hypotenuse equals the sum of the squares of the two right angled edges of the triangle.

For n > 2, no three integers a, b, c satisfy the following equation: a^n + b^n = c^n.

Any convex polyhedron with V vertices, F faces, and E edges is such that: V - E + F = 2.

The number of elements in any subgroup of a finite group divides the number of elements in the group.

Given events A and B and a probability measure P: P(A | B) P(B) = P(B | A) P(A).

Every non-constant single-variable polynomial with complex coefficients has at least one complex root.

Indefinite integration can be reversed by differentiation.

Every integer greater than 1 either is prime itself or is the product of prime numbers, and this product is unique, up to the order of the factors.

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