Helper

centropyAC

File dumas2017dual/lib/extra_proba.v

Section perm_extra

Type Lemma

Proof Lines 12

Signature

Lemma centropyAC (A B C D : finType) (X : {RV P -> A}) (Y : {RV P -> B}) (Z : {RV P -> C}) (W : {RV P -> D}) : `H(X | [% Y, Z, W]) = `H(X | [% Y, W, Z]).

Description

Conditional entropy is invariant under swapping last two conditioning vars: H(X | Y,Z,W) = H(X | Y,W,Z). Commutativity for conditioning tuple tail.

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