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chore(topology/algebra/ordered): move squeeze_zero from metric_space #1828

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@urkud urkud commented Dec 27, 2019

TO CONTRIBUTORS:

Make sure you have:

  • reviewed and applied the coding style: coding, naming
  • reviewed and applied the documentation requirements
  • make sure definitions and lemmas are put in the right files
  • make sure definitions and lemmas are not redundant

If this PR is related to a discussion on Zulip, please include a link in the discussion.

For reviewers: code review check list

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urkud commented Dec 27, 2019

For some reason I don't understand, apply squeeze_zero fails in normed_space/basic while apply @squeeze_zero ℝ (α×α) _ _ _ _ works. Looks like a Lean bug (or a feature I don't understand) to me. Here is the output of #check @squeeze_zero:

squeeze_zero :
  ∀ {α : Type u_5} {β : Type u_6} [_inst_1 : topological_space α] [_inst_2 : partial_order α]
  [t : orderable_topology α] [_inst_3 : has_zero α] {f g : β → α} {b : filter β},
    (∀ (t : β), 0 ≤ f t) → (∀ (t : β), f t ≤ g t) → tendsto g b (𝓝 0) → tendsto f b (𝓝 0)

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urkud commented Dec 27, 2019

Closing because apply squeeze_zero doesn't work with the "generalized" version of squeeze_zero.

@urkud urkud closed this Dec 27, 2019
@urkud urkud deleted the move-squeeze-zero branch March 29, 2020 08:51
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