Theorems · Theorem · real analysis
ENNReal.rpow_eq_exp_mul_log
∀ (x : ENNReal) (y : ℝ), x ^ y = (↑y * x.log).exp
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ERealstatement and proof · cited by 793
- Real.toERealstatement · cited by 303
- ENNReal.logstatement · cited by 72
- EReal.expstatement and proof · cited by 46
- ENNReal.log_rpowproof · cited by 4
- ENNReal.exp_logproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.tendsto_rpow_atTop_of_one_lt_baseproof · cited by 1
- ENNReal.tendsto_rpow_atBot_of_one_lt_baseproof · cited by 0
- ENNReal.tendsto_rpow_atTop_of_base_lt_oneproof · cited by 0
- EReal.ENNReal.rpow_eq_exp_mul_logproof · cited by 0
- ENNReal.tendsto_rpow_atBot_of_base_lt_oneproof · cited by 0