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Commit 2022-10-08 03:03 052b6cbe

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feat(topology/algebra/order/left_right): left and right limits (#16551) We define left and right limits of a function, and prove that a monotone function is continuous at a point if and only if its left and right limits coincide. We also refactor the file on Stieltjes functions using this general definition instead of the ad hoc definition that is currently used.

Estimated changes

added theorem antitone.le_left_lim
added theorem antitone.le_right_lim
added theorem antitone.left_lim_le
added theorem antitone.right_lim_le
added theorem left_lim_eq_of_eq_bot
added theorem left_lim_eq_of_tendsto
added theorem monotone.le_left_lim
added theorem monotone.le_right_lim
added theorem monotone.left_lim_le
added theorem monotone.right_lim_le