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Let let let, let let let, Let let let, let let let, X be a set set set, X be a set set set. Let let let, let let let, Let let let, let let let, X be a set set set, X be a set set set. The function little d from X × X to ℝ is the metric on set X, how far apart things are. The function little d from X × X to ℝ is the metric on set X, how far apart things are. Non-negativity. Identity of indiscernibles. Symmetry. Triangle inequality. Non-negativity. Identity of indiscernibles, Symmetry. Triangle inequality. B_d (x,ε) equals the set of y such that d(x,y) is less than ε. B_d (x,ε) equals the set of y such that d(x,y) is less than ε. The collection of ε-balls, ε positive by decree, forms a basis for the metric topology induced by d. The collection of ε-balls, ε positive by decree, forms a basis for the metric topology induced by d. Non-negativity. Identity of indiscernibles, Symmetry. Triangle inequality. Non-negativity. Identity of indiscernibles, Symmetry. Triangle inequality. - AI tools: Suno (remix / cover) ChatGPT (illustrations) - Written and Composed by: Aitlantis Civic (Atlantis Velforening)