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Theorems · Theorem · number theory

schnirelmannDensity_eq_one_iff

∀ {A : Set ℕ} [inst : DecidablePred fun x => x ∈ A], schnirelmannDensity A = 1 ↔ {0}ᶜ ⊆ A

The Schnirelmann density of A is 1 if and only if A contains all the positive naturals.

Defined in
Mathlib.Combinatorics.Schnirelmann
Cited by
1 results in Mathlib
Foundations
Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidablePred

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