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Commit 2021-10-05 10:10 e7ea02fd

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feat(analysis/convex/basic): Levels of a monotone/antitone function (#9547) The set of points whose image under a monotone function is less than a fixed value is convex, when the space is linear.

Estimated changes

added theorem antitone.convex_ge
added theorem antitone.convex_gt
added theorem antitone.convex_le
added theorem antitone.convex_lt
added theorem antitone_on.convex_ge
added theorem antitone_on.convex_gt
added theorem antitone_on.convex_le
added theorem antitone_on.convex_lt
added theorem convex.combo_le_max
added theorem convex.min_le_combo
added theorem monotone.convex_ge
added theorem monotone.convex_gt
added theorem monotone.convex_le
added theorem monotone.convex_lt
added theorem monotone_on.convex_ge
added theorem monotone_on.convex_gt
added theorem monotone_on.convex_le
added theorem monotone_on.convex_lt