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[Merged by Bors] - feat(Mathlib/Analysis/SpecificLimits/Basic.lean): add iff versions of lemmas about x^n going to 0 iff x < 1 #11008

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Add the two iff versions (for NNReals and ENNReals) of the statement that $x^n$ tends to $0$ if and only if $x&lt;1$.


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@faenuccio faenuccio added awaiting-review The author would like community review of the PR t-analysis Analysis (normed *, calculus) labels Feb 27, 2024
@faenuccio faenuccio added the easy < 20s of review time. See the lifecycle page for guidelines. label Feb 27, 2024
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To avoid clashing with the name in the root namespace, let's protect these.

bors d+

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mathlib-bors bot commented Feb 27, 2024

✌️ faenuccio can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Feb 27, 2024
faenuccio and others added 3 commits February 27, 2024 11:57
Co-authored-by: Michael Stoll <99838730+MichaelStollBayreuth@users.noreply.github.com>
Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>
Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>
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LGTM

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bors r+

mathlib-bors bot pushed a commit that referenced this pull request Feb 27, 2024
… lemmas about x^n going to 0 iff x < 1 (#11008)

Add the two iff versions (for NNReals and ENNReals) of the statement that $x^n$ tends to $0$ if and only if $x<1$.



Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>
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mathlib-bors bot commented Feb 27, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Mathlib/Analysis/SpecificLimits/Basic.lean): add iff versions of lemmas about x^n going to 0 iff x < 1 [Merged by Bors] - feat(Mathlib/Analysis/SpecificLimits/Basic.lean): add iff versions of lemmas about x^n going to 0 iff x < 1 Feb 27, 2024
@mathlib-bors mathlib-bors bot closed this Feb 27, 2024
@mathlib-bors mathlib-bors bot deleted the fae_PR_NNreal_tendsto_iff branch February 27, 2024 14:28
riccardobrasca pushed a commit that referenced this pull request Mar 1, 2024
… lemmas about x^n going to 0 iff x < 1 (#11008)

Add the two iff versions (for NNReals and ENNReals) of the statement that $x^n$ tends to $0$ if and only if $x<1$.



Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>
kbuzzard pushed a commit that referenced this pull request Mar 12, 2024
… lemmas about x^n going to 0 iff x < 1 (#11008)

Add the two iff versions (for NNReals and ENNReals) of the statement that $x^n$ tends to $0$ if and only if $x<1$.



Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>
dagurtomas pushed a commit that referenced this pull request Mar 22, 2024
… lemmas about x^n going to 0 iff x < 1 (#11008)

Add the two iff versions (for NNReals and ENNReals) of the statement that $x^n$ tends to $0$ if and only if $x<1$.



Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>
Louddy pushed a commit that referenced this pull request Apr 15, 2024
… lemmas about x^n going to 0 iff x < 1 (#11008)

Add the two iff versions (for NNReals and ENNReals) of the statement that $x^n$ tends to $0$ if and only if $x<1$.



Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>
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5 participants