Helper

entropy_sum_split

File dumas2017dual/lib/extra_entropy.v

Section entropy_sum

Type Lemma

Proof Lines 9

Signature

Lemma entropy_sum_split (A : finType) (S : pred A) (p : R) (pmf : A -> R) : (forall a, S a -> pmf a = p) -> (forall a, ~~ S a -> pmf a = 0) -> (- \sum_(a : A) pmf a * log (pmf a)) = (- \sum_(a : A | S a) p * log p).

Description

Entropy sum over a subset with uniform probability

Uses (0)

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

Used By (0)

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