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Commit 2021-11-12 09:37 c45e70ac

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chore(analysis/special_functions/pow): put lemmas about derivatives into a new file (#10153) In order to keep results about continuity of the power function in the original file, we prove some continuity results directly (these were previously proved using derivatives).

Estimated changes

added theorem continuous_at_cpow
added theorem cpow_eq_nhds'
added theorem cpow_eq_nhds
deleted theorem deriv_rpow_const
deleted theorem deriv_within_rpow_const
deleted theorem differentiable.rpow
deleted theorem differentiable.rpow_const
deleted theorem differentiable_at.cpow
deleted theorem differentiable_at.rpow
deleted theorem differentiable_on.rpow
deleted theorem has_deriv_at.const_cpow
deleted theorem has_deriv_at.cpow
deleted theorem has_deriv_at.cpow_const
deleted theorem has_deriv_at.rpow
deleted theorem has_deriv_at.rpow_const
deleted theorem has_deriv_within_at.cpow
deleted theorem has_deriv_within_at.rpow
deleted theorem has_fderiv_at.const_cpow
deleted theorem has_fderiv_at.const_rpow
deleted theorem has_fderiv_at.cpow
deleted theorem has_fderiv_at.rpow
deleted theorem has_fderiv_at.rpow_const
deleted theorem has_fderiv_within_at.cpow
deleted theorem has_fderiv_within_at.rpow
deleted theorem has_strict_deriv_at.cpow
deleted theorem has_strict_deriv_at.rpow
deleted theorem has_strict_fderiv_at.cpow
deleted theorem has_strict_fderiv_at.rpow
deleted theorem real.deriv_rpow_const'
deleted theorem real.deriv_rpow_const
deleted theorem times_cont_diff.rpow
deleted theorem times_cont_diff_at.rpow
deleted theorem times_cont_diff_on.rpow
added theorem zero_cpow_eq_nhds
added theorem deriv_rpow_const
added theorem differentiable.rpow
added theorem differentiable_at.cpow
added theorem differentiable_at.rpow
added theorem differentiable_on.rpow
added theorem has_deriv_at.cpow
added theorem has_deriv_at.rpow
added theorem has_fderiv_at.cpow
added theorem has_fderiv_at.rpow
added theorem real.deriv_rpow_const'
added theorem real.deriv_rpow_const
added theorem times_cont_diff.rpow