Theorems · Theorem · information theory
Real.binEntropy_pos
∀ {p : ℝ}, 0 < p → p < 1 → 0 < Real.binEntropy p- Cited by
- 3 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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_posproof · cited by 374
- sub_posproof · cited by 147
- add_pos'proof · cited by 88
- Real.log_posproof · cited by 51
- sub_pos_of_ltproof · cited by 40
- Real.binEntropystatement · cited by 28
- one_lt_inv₀proof · cited by 13
- sub_lt_selfproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- Real.qaryEntropy_posproof · cited by 1
- Real.binEntropy_nonnegproof · cited by 0
- Real.binEntropy_eq_zeroproof · cited by 0