Theorems · Theorem · real analysis
Real.tendsto_log_atTop
Filter.Tendsto Real.log Filter.atTop Filter.atTop
The real logarithm function tends to +∞ at +∞.
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- Real.logstatement · cited by 939
- Filter.tendsto_idproof · cited by 180
- Real.log_expproof · cited by 33
- Real.tendsto_comp_exp_atTopproof · cited by 1
Cited by26
Results whose statement or proof uses this declaration.
- Real.isLittleO_const_log_atTopproof · cited by 5
- AkraBazziRecurrence.isLittleO_smoothingFn_oneproof · cited by 3
- Real.tendsto_pow_log_div_mul_add_atTopproof · cited by 2
- not_integrableOn_Ici_invproof · cited by 2
- tendsto_rpow_div_mul_addproof · cited by 2
- AkraBazziRecurrence.growsPolynomially_logproof · cited by 2
- AkraBazziRecurrence.isLittleO_deriv_smoothingFnproof · cited by 2
- AkraBazziRecurrence.eventually_log_b_mul_posproof · cited by 1
- isLittleO_log_rpow_rpow_atTopproof · cited by 1
- integrableOn_inv_div_log_sq_Ioiproof · cited by 1
- AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFnproof · cited by 1
- AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFnproof · cited by 1