Commit 2024-10-22 10:52 fb1cb210

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chore(Analysis/SpecificLimits/Normed): move lemmas earlier (#18046) These lemmas can be proved earlier at no cost. This is one step towards reducing imports in this area of mathlib.

Estimated changes

Modified Mathlib/Analysis/Asymptotics/Asymptotics.lean

added theorem NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded

Modified Mathlib/Analysis/Normed/Field/InfiniteSum.lean

added theorem summable_of_absolute_convergence_real

Modified Mathlib/Analysis/Normed/Field/Lemmas.lean

added theorem NormedField.tendsto_norm_inverse_nhdsWithin_0_atTop

added theorem NormedField.tendsto_norm_zpow_nhdsWithin_0_atTop

Modified Mathlib/Analysis/Normed/Group/Basic.lean

added theorem tendsto_norm_atTop_atTop

added theorem tendsto_norm_one'

Modified Mathlib/Analysis/SpecificLimits/Normed.lean

deleted theorem NormedField.continuousAt_inv

deleted theorem NormedField.continuousAt_zpow

deleted theorem NormedField.tendsto_norm_inverse_nhdsWithin_0_atTop

deleted theorem NormedField.tendsto_norm_zpow_nhdsWithin_0_atTop

deleted theorem NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded

deleted theorem summable_of_absolute_convergence_real

deleted theorem tendsto_norm_atTop_atTop

deleted theorem tendsto_norm_zero'