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cinde_cond_mutual_info0

File dumas2017dual/lib/extra_entropy.v

Section cinde_cond_mutual_info0

Type Lemma

Proof Lines 40

Signature

Lemma cinde_cond_mutual_info0 : P |= X _|_ Y | Z -> cond_mutual_info `p_[% X, Y, Z] = 0.

Description

Conditional independence implies zero conditional mutual information: If X ⊥ Y | Z, then I(X;Y|Z) = 0. This is the information-theoretic characterization of conditional independence.

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