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Commit 2021-10-24 03:33 49c68412

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chore(topology): generalize real.image_Icc etc (#9784)

  • add lemmas about Ici/Iic/Icc in α × β;
  • introduce a typeclass for is_compact_Icc so that the same lemma works for and ℝⁿ;
  • generalize real.image_Icc etc to a conditionally complete linear order (e.g., now it works for nnreal, ennreal, ereal), move these lemmas to the continuous_on namespace.

Estimated changes

added theorem set.Icc_prod_Icc
added theorem set.Icc_prod_eq
added theorem set.Ici_prod_Ici
added theorem set.Ici_prod_eq
added theorem set.Iic_prod_Iic
added theorem set.Iic_prod_eq