[Merged by Bors] - feat: More rpow lemmas
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A bunch of easy lemmas about `Real.pow` and the golf of existing lemmas with them. Also rename `log_le_log` to `log_le_log_iff` and `log_le_log'` to `log_le_log`. Those misnames caused several proofs to bother with side conditions they didn't need. From LeanAPAP
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| #align real.rpow_int_cast Real.rpow_int_cast | ||
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| @[simp, norm_cast] | ||
| theorem rpow_nat_cast (x : ℝ) (n : ℕ) : x ^ (n : ℝ) = x ^ n := by simpa using rpow_int_cast x n |
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Whats with these being nat_cast vs natCast elsewhere?
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We've hardly decided on a convention. I'm personally in favor of natCast (and the poll a few months back agrees with me) but most lemmas have been ported as nat_cast. This lemma is just moving, so I'm not changing its name. However I'm naming the new ones using natCast.
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Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
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A bunch of easy lemmas about `Real.pow` and the golf of existing lemmas with them. Also rename `log_le_log` to `log_le_log_iff` and `log_le_log'` to `log_le_log`. Those misnames caused several proofs to bother with side conditions they didn't need. From LeanAPAP
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A bunch of easy lemmas about `Real.pow` and the golf of existing lemmas with them. Also rename `log_le_log` to `log_le_log_iff` and `log_le_log'` to `log_le_log`. Those misnames caused several proofs to bother with side conditions they didn't need. From LeanAPAP
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Pull request successfully merged into master. Build succeeded: |
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rpow lemmasrpow lemmas
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A bunch of easy lemmas about
Real.powand the golf of existing lemmas with them.Also rename
log_le_logtolog_le_log_iffandlog_le_log'tolog_le_log. Those misnames caused several proofs to bother with side conditions they didn't need.From LeanAPAP