convergence of a real function #1396
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affeldt-aist
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- equivalence with convergent sequences Co-authored-by: IshiguroYoshihiro <[email protected]>
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zstone1
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Dec 6, 2024
| @@ -221,6 +219,38 @@ apply: cvg_at_right_left_dnbhs. | |||
| - by apply/cvg_at_leftP => u [pu ?]; apply: pfl; split => // n; rewrite lt_eqF. | |||
| Unshelve. all: end_near. Qed. | |||
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| Lemma cvgr_nbhsP f p l : f x @[x --> p] --> l <-> | |||
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It would be nice to have this for any metric space (or indeed any first-countable space). But it's fine to have the specialized version for now if it's useful. We can always go back and generalize later
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