Theorems · Definition · real analysis
Real.negMulLog
ℝ → ℝ
The function x ↦ - x * log x from ℝ to ℝ.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by20
Results whose statement or proof uses this declaration.
- Real.negMulLog_eq_negstatement · cited by 6
- Real.binEntropy_eq_negMulLog_add_negMulLog_one_sub'statement · cited by 2
- Real.differentiableOn_negMulLogstatement · cited by 2
- Real.deriv_binEntropyproof · cited by 2
- Real.deriv_negMulLogstatement · cited by 2
- Real.continuous_negMulLogstatement · cited by 1
- Real.strictConcaveOn_negMulLogstatement · cited by 1
- Real.differentiableAt_negMulLogstatement · cited by 1
- Real.differentiableAt_negMulLog_iffstatement and proof · cited by 1
- Real.binEntropy_eq_negMulLog_add_negMulLog_one_substatement · cited by 1
- Real.negMulLog_lt_one_sub_selfstatement · cited by 1
- Real.negMulLog_onestatement · cited by 1