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Theorems · Theorem · number theory

Nat.factorization_choose_le_log

∀ {p n k : ℕ}, (n.choose k).factorization p ≤ Nat.log p n

A logarithmic upper bound on the multiplicity of a prime in a binomial coefficient.

Defined in
Mathlib.Data.Nat.Choose.Factorization
Cited by
3 results in Mathlib
Foundations
Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

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Cited by3

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