[Merged by Bors] - feat(topology/instances/real): a continuous periodic function has compact range (and is hence bounded) #7968
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On second thoughts, I think the main lemmas here should go in |
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…pact range (and is hence bounded) (#7968) A few more facts about periodic functions, namely: - If a function `f` is `periodic` with positive period `p`, then for all `x` there exists `y` such that `y` is an element of `[0, p)` and `f x = f y` - A continuous, periodic function has compact range - A continuous, periodic function is bounded
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…pact range (and is hence bounded) (#7968) A few more facts about periodic functions, namely: - If a function `f` is `periodic` with positive period `p`, then for all `x` there exists `y` such that `y` is an element of `[0, p)` and `f x = f y` - A continuous, periodic function has compact range - A continuous, periodic function is bounded
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A few more facts about periodic functions, namely:
fisperiodicwith positive periodp,then for all
xthere existsysuch thatyis an element of[0, p)andf x = f y