Theorems · Theorem · real analysis
ENNReal.log_rpow
∀ {x : ENNReal} {y : ℝ}, (x ^ y).log = ↑y * x.log- Cited by
- 4 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- Nat.cast_zeroproof · cited by 1,870
- MulZeroClass.zero_mulproof · cited by 1,625
- LT.lt.ne'proof · cited by 1,417
- Real.logproof · cited by 939
- LT.lt.neproof · cited by 872
- ENNReal.toRealproof · cited by 859
- ERealstatement and proof · cited by 793
- Real.toERealstatement and proof · cited by 303
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.rpow_eq_exp_mul_logproof · cited by 5
- ENNReal.log_powproof · cited by 3
- ENNReal.log_invproof · cited by 2
- EReal.exp_mulproof · cited by 0