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[Merged by Bors] - chore(analysis/mean_inequalities_pow): nnreal versions of some ennreal inequalities #10836

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Make nnreal versions of the existing ennreal lemmas

lemma add_rpow_le_rpow_add {p : ℝ} (a b : ℝ≥0∞) (hp1 : 1 ≤ p) :
  a ^ p + b ^ p ≤ (a + b) ^ p 

and similar, introduced by @RemyDegenne in #5828. Refactor the proofs of the ennreal versions to pass through these.


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@hrmacbeth hrmacbeth added the awaiting-review The author would like community review of the PR label Dec 16, 2021
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Thanks!
bors r+

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Dec 16, 2021
bors bot pushed a commit that referenced this pull request Dec 16, 2021
…l inequalities (#10836)

Make `nnreal` versions of the existing `ennreal` lemmas
```lean
lemma add_rpow_le_rpow_add {p : ℝ} (a b : ℝ≥0∞) (hp1 : 1 ≤ p) :
  a ^ p + b ^ p ≤ (a + b) ^ p 
```
and similar, introduced by @RemyDegenne in #5828.  Refactor the proofs of the `ennreal` versions to pass through these.
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bors bot commented Dec 16, 2021

Pull request successfully merged into master.

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@bors bors bot changed the title chore(analysis/mean_inequalities_pow): nnreal versions of some ennreal inequalities [Merged by Bors] - chore(analysis/mean_inequalities_pow): nnreal versions of some ennreal inequalities Dec 16, 2021
@bors bors bot closed this Dec 16, 2021
@bors bors bot deleted the nnreal-add_rpow_le_rpow_add branch December 16, 2021 10:58
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