Theorems · Theorem · real analysis
Real.rpow_add
∀ {x : ℝ}, 0 < x → ∀ (y z : ℝ), x ^ (y + z) = x ^ y * x ^ z- Cited by
- 41 results in Mathlib
- Foundations
- Depth 195 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.expproof · cited by 871
- mul_addproof · cited by 413
- Real.exp_addproof · cited by 39
- Real.rpow_def_of_posproof · cited by 35
Cited by41
Results whose statement or proof uses this declaration.
- Real.rpow_add'proof · cited by 12
- Real.rpow_subproof · cited by 8
- integral_rpow_mul_exp_neg_rpowproof · cited by 4
- NNReal.rpow_addproof · cited by 4
- EisensteinSeries.summable_one_div_norm_rpowproof · cited by 4
- LSeriesSummable_of_le_const_mul_rpowproof · cited by 3
- LiouvilleWith.frequently_lt_rpow_negproof · cited by 3
- TemperedDistribution.besselPotential_besselPotential_applyproof · cited by 3
- WeakFEPair.hf_zeroproof · cited by 2
- pow_mul_le_of_le_of_pow_mul_leproof · cited by 2
- integral_rpow_mul_exp_neg_mul_rpowproof · cited by 2
- hasSum_mellin_pi_mul_sq'proof · cited by 2