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4 changes: 2 additions & 2 deletions information_theory/entropy_convex.v
Original file line number Diff line number Diff line change
Expand Up @@ -7,7 +7,7 @@ From mathcomp Require boolp.
From mathcomp Require Import unstable mathcomp_extra reals.
From mathcomp Require Import interval_inference set_interval.
From mathcomp Require Import functions topology normedtype realfun derive exp.
From mathcomp Require convex.
From mathcomp Require Import -(notations)convex.
Require Import ssr_ext ssralg_ext bigop_ext realType_ext realType_ln.
Require Import derive_ext fdist jfdist_cond entropy convex.
Require Import binary_entropy_function log_sum divergence.
Expand Down Expand Up @@ -244,7 +244,7 @@ have cnH2: {within `[x, y], continuous (- H2)}%classic.
apply/RNconcave_function_at.
rewrite /convex_function_at /=.
rewrite -!mc_convRE.
apply: (@analysis.convex.second_derivative_convex _ (fun z => - (H2 z))).
apply: (@second_derivative_convex _ (fun z => - (H2 z))).
- move=> z xzy.
have/zxyoo01 z01: z \in `]x, y[%classic by rewrite inE.
by rewrite DDnH2E// DDnH2_nonneg.
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1 change: 1 addition & 0 deletions probability/convex.v
Original file line number Diff line number Diff line change
Expand Up @@ -4,6 +4,7 @@ From HB Require Import structures.
From mathcomp Require Import all_ssreflect ssralg fingroup perm matrix interval.
From mathcomp Require Import unstable mathcomp_extra boolp classical_sets.
From mathcomp Require Import ssrnum archimedean ereal interval_inference.
From mathcomp Require Import realfun.
From mathcomp Require Import ring lra reals.
Require Import ssr_ext ssralg_ext realType_ext realType_ln fdist.
From mathcomp Require vector.
Expand Down
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