Helper

zero_entropy_eq_point_mass

File dumas2017dual/lib/extra_entropy.v
Section zero_entropy_eq_point_mass
Type Lemma
Proof Lines 20

Signature

Lemma zero_entropy_eq_point_mass (V: finType) (Z : {RV P -> V}) : `H `p_Z = 0 <-> exists! z, `Pr[Z = z] = 1.

Description

Unique point mass characterization: H(Z) = 0 iff there exists UNIQUE z with Pr[Z = z] = 1. Strengthens zero_entropy_eq_point_mass1 with uniqueness.

Uses (0)

This lemma does not use any other lemmas from the stats.

Used By (0)

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