Helper

centropy_constant_fibers

File dumas2017dual/entropy_fiber/entropy_fiber.v

Section constant_fiber_size

Type Lemma

Proof Lines 26

Signature

Lemma centropy_constant_fibers (fiber_card : nat) : (forall c, c \in image_set f -> #|fiber f c| = fiber_card) -> (0 < fiber_card)%N -> `H(X | Y) = log (fiber_card%:R : R).

Description

Then overall conditional entropy is constant

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

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