[Merged by Bors] - chore(order/filter/at_top_bot): add/rename lemmas about limits like ±∞*c
#5333
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urkud
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±∞*c±∞*c
urkud
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±∞*c±∞*c
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sgouezel
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Dec 14, 2020
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…±∞*c` (#5333) ### New lemmas * `filter.tendsto.nsmul_at_top` and `filter.tendsto.nsmul_at_bot`; * `filter.tendsto_mul_self_at_top`; * `filter.tendsto.at_top_mul_at_bot`, `filter.tendsto.at_bot_mul_at_top`, `filter.tendsto.at_bot_mul_at_bot`; * `filter.tendsto.at_top_of_const_mul`, `filter.tendsto.at_top_of_mul_const`; * `filter.tendsto.at_top_div_const`, `filter.tendsto.neg_const_mul_at_top`, `filter.tendsto.at_top_mul_neg_const`, `filter.tendsto.const_mul_at_bot`, `filter.tendsto.at_bot_mul_const`, `filer.tendsto.at_bot_div_const`, `filter.tendsto.neg_const_mul_at_bot`, `filter.tendsto.at_bot_mul_neg_const`. ### Renamed lemmas * `tendsto_pow_at_top` → `filter.tendsto_pow_at_top`; * `tendsto_at_top_mul_left` → `filter.tendsto.const_mul_at_top'`; * `tendsto_at_top_mul_right` → `filter.tendsto.at_top_mul_const'`; * `tendsto_at_top_mul_left'` → `filter.tendsto.const_mul_at_top`; * `tendsto_at_top_mul_right'` → `filer.tendsto.at_top_mul_const`; * `tendsto_mul_at_top` → `filter.tendsto.at_top_mul`; * `tendsto_mul_at_bot` → `filter.tendsto.at_top_mul_neg`; * `tendsto_at_top_mul_at_top` → `filter.tendsto.at_top_mul_at_top`.
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New lemmas
filter.tendsto.nsmul_at_topandfilter.tendsto.nsmul_at_bot;filter.tendsto_mul_self_at_top;filter.tendsto.at_top_mul_at_bot,filter.tendsto.at_bot_mul_at_top,filter.tendsto.at_bot_mul_at_bot;filter.tendsto.at_top_of_const_mul,filter.tendsto.at_top_of_mul_const;filter.tendsto.at_top_div_const,filter.tendsto.neg_const_mul_at_top,filter.tendsto.at_top_mul_neg_const,filter.tendsto.const_mul_at_bot,filter.tendsto.at_bot_mul_const,filer.tendsto.at_bot_div_const,filter.tendsto.neg_const_mul_at_bot,filter.tendsto.at_bot_mul_neg_const.Renamed lemmas
tendsto_pow_at_top→filter.tendsto_pow_at_top;tendsto_at_top_mul_left→filter.tendsto.const_mul_at_top';tendsto_at_top_mul_right→filter.tendsto.at_top_mul_const';tendsto_at_top_mul_left'→filter.tendsto.const_mul_at_top;tendsto_at_top_mul_right'→filer.tendsto.at_top_mul_const;tendsto_mul_at_top→filter.tendsto.at_top_mul;tendsto_mul_at_bot→filter.tendsto.at_top_mul_neg;tendsto_at_top_mul_at_top→filter.tendsto.at_top_mul_at_top.