Theorems · Theorem · information theory
Real.binEntropy_eq_negMulLog_add_negMulLog_one_sub
∀ (p : ℝ), Real.binEntropy p = p.negMulLog + (1 - p).negMulLog
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.logproof · cited by 939
- mul_negproof · cited by 590
- neg_subproof · cited by 272
- Real.log_invproof · cited by 35
- Real.binEntropystatement · cited by 28
- Real.negMulLogstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Real.binEntropy_eq_negMulLog_add_negMulLog_one_sub'proof · cited by 2