Mathlib v3 is deprecated. Go to Mathlib v4

Commit 2021-06-22 03:06 4416eacb

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feat(topology/instances/real): a continuous periodic function has compact 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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