feat(analysis/mean_inequalities) : Prove AM-GM #1836
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| open real finset | ||
| open_locale classical nnreal | ||
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| variables {ι : Type u} (s : finset ι) |
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s could be implicit in most statements (all?)
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When I specialize the theorems for 2 and 3 variables I explicitly supply univ because I have w₁+w₂=1, not univ.sum w = 1.
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Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr>
Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr>
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Co-Authored-By: Johan Commelin <johan@commelin.net>
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…1836) * feat(analysis/mean_inequalities) : Prove AM-GM * Update, add more inequalities * Update src/analysis/convex/specific_functions.lean Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr> * Update src/analysis/mean_inequalities.lean Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr> * Update src/analysis/mean_inequalities.lean * Small fixes, thanks @sgouezel * Update src/analysis/mean_inequalities.lean Co-Authored-By: Johan Commelin <johan@commelin.net> Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>
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…1836) * feat(analysis/mean_inequalities) : Prove AM-GM * Update, add more inequalities * Update src/analysis/convex/specific_functions.lean Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr> * Update src/analysis/mean_inequalities.lean Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr> * Update src/analysis/mean_inequalities.lean * Small fixes, thanks @sgouezel * Update src/analysis/mean_inequalities.lean Co-Authored-By: Johan Commelin <johan@commelin.net> Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>
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Should be ready now. I can't guess what versions will be useful in practice, so I prove a few versions, and leave the rest to someone who'll want to actually use these inequalities.