Commit 2025-06-09 18:47 7b3a5561

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feat(SpecialFunctions/Log): more continuity and limits for logb (#18912) Continuation from #18621. From the ExponentialRamsey project.

Estimated changes

Modified Mathlib/Analysis/SpecialFunctions/Log/Base.lean

added theorem Continuous.logb

added theorem ContinuousOn.logb

added theorem Filter.Tendsto.logb

added theorem Real.isLittleO_const_logb_atTop

added theorem Real.isLittleO_logb_id_atTop

added theorem Real.isLittleO_pow_logb_id_atTop

modified theorem Real.logb_abs

added theorem Real.logb_abs_base

modified theorem Real.logb_inv

added theorem Real.logb_inv_base

added theorem Real.logb_neg_base_eq_logb

modified theorem Real.logb_neg_eq_logb

added theorem Real.tendsto_abs_logb_atTop

added theorem Real.tendsto_logb_comp_add_sub_logb

added theorem Real.tendsto_logb_nat_add_one_sub_logb

added theorem Real.tendsto_pow_logb_div_mul_add_atTop

Modified Mathlib/Analysis/SpecificLimits/Basic.lean

added theorem tendsto_mul_add_inv_atTop_nhds_zero