Helper

centropyA

File dumas2017dual/lib/extra_proba.v

Section perm_extra

Type Lemma

Proof Lines 22

Signature

Lemma centropyA (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, Z, W]).

Description

Associativity for conditional entropy: H(X | (Y,(Z,W))) = H(X | Y,Z,W). Flattens nested conditioning tuples.

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