Theorems · Theorem · real analysis
Real.logb_rpow
∀ {b x : ℝ}, 0 < b → b ≠ 1 → Real.logb b (b ^ x) = x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Real.logbstatement · cited by 119
- div_eq_iffproof · cited by 37
- Real.log_rpowproof · cited by 31
- Real.log_ne_zero_of_pos_of_ne_oneproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- AkraBazziRecurrence.GrowsPolynomially.eventually_zero_of_frequently_zeroproof · cited by 1
- Real.logb_surjectiveproof · cited by 1
- Real.surjOn_logbproof · cited by 0
- Real.surjOn_logb'proof · cited by 0
- Real.logb_eq_iff_rpow_eqproof · cited by 0