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[Merged by Bors] - Update docstring of squeeze_one_norm' #8667

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[Merged by Bors] - Update docstring of squeeze_one_norm' #8667

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1a5105c
Update docstring of `squeeze_one_norm'`
adomasbaliuka Nov 27, 2023
eb7fd2a
Fix whitespace
adomasbaliuka Nov 27, 2023
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10 changes: 5 additions & 5 deletions Mathlib/Analysis/Normed/Group/Basic.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -1096,12 +1096,12 @@ theorem comap_norm_nhds_one : comap norm (𝓝 0) = 𝓝 (1 : E) := by
#align comap_norm_nhds_zero comap_norm_nhds_zero

/-- Special case of the sandwich theorem: if the norm of `f` is eventually bounded by a real
function `a` which tends to `0`, then `f` tends to `1`. In this pair of lemmas (`squeeze_one_norm'`
and `squeeze_one_norm`), following a convention of similar lemmas in `Topology.MetricSpace.Basic`
and `Topology.Algebra.Order`, the `'` version is phrased using "eventually" and the non-`'` version
is phrased absolutely. -/
function `a` which tends to `0`, then `f` tends to `1` (neutral element of `SeminormedGroup`).
In this pair of lemmas (`squeeze_one_norm'` and `squeeze_one_norm`), following a convention of
similar lemmas in `Topology.MetricSpace.Basic` and `Topology.Algebra.Order`, the `'` version is
phrased using "eventually" and the non-`'` version is phrased absolutely. -/
@[to_additive "Special case of the sandwich theorem: if the norm of `f` is eventually bounded by a
real function `a` which tends to `0`, then `f` tends to `1`. In this pair of lemmas
real function `a` which tends to `0`, then `f` tends to `0`. In this pair of lemmas
(`squeeze_zero_norm'` and `squeeze_zero_norm`), following a convention of similar lemmas in
`Topology.MetricSpace.PseudoMetric` and `Topology.Algebra.Order`, the `'` version is phrased using
\"eventually\" and the non-`'` version is phrased absolutely."]
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