Theorems · Theorem · real analysis
Real.rpow_logb_eq_abs
∀ {b x : ℝ}, 0 < b → b ≠ 1 → x ≠ 0 → b ^ Real.logb b x = |x|- Cited by
- 2 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.
Cites13
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- absstatement and proof · cited by 1,814
- Real.logproof · cited by 939
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
- Real.rpow_pos_of_posproof · cited by 155
- Real.logbstatement and proof · cited by 119
- Real.log_rpowproof · cited by 31
- Real.log_absproof · cited by 17
- Real.log_injOn_posproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Real.rpow_logbproof · cited by 15
- Real.rpow_logb_of_negproof · cited by 0