Definitions
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Results
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Conjectures
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Set of symbols
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Alphabet
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Deduction system
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Theory
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Zermelo-Fraenkel set theory
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Set
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Binary cartesian set product
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Binary relation
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Binary endorelation
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Preordering relation
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Partial ordering relation
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Ordering relation
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Ordered set
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Dedekind cut
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Set of real numbers
Real number
<No formulations for this definition yet>
Child definitions
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D2137: Basic real golden ratio
Results
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R4692: Series diverges for real numbers in the left-closed unit interval iff infinite product of duals vanishes
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R4694:
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R4693: Lower bound to the product of duals of a finite collection of real numbers in the left-closed unit interval
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R3545: Endpoint bounds for real convex combination
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R4261: Real binomial theorem for exponent two
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R4695: An infinite product of real numbers on the open unit interval need not converge to zero
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R5168: Infinite product of real numbers in right-closed unit interval vanishes iff infinite sum of duals diverges
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R5169: Infinite product of real numbers in right-closed unit interval does not vanish iff infinite sum of duals converges
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R5166: Series converges for real numbers in the left-closed unit interval iff infinite product of duals does not vanish