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[Merged by Bors] - chore(analysis/special_functions/pow): golf a few proofs #8308
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* add `ennreal.zero_rpow_mul_self` and `ennreal.mul_rpow_eq_ite`; * use the latter lemma to golf other proofs about `(x * y) ^ z`; * drop unneeded argument in `ennreal.inv_rpow_of_pos`, rename it to `ennreal.inv_rpow`; * add `ennreal.strict_mono_rpow_of_pos` and `ennreal.monotone_rpow_of_nonneg`, use themm to golf some proofs.
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eric-wieser
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Jul 14, 2021
eric-wieser
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Jul 14, 2021
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
bors r+ |
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* add `ennreal.zero_rpow_mul_self` and `ennreal.mul_rpow_eq_ite`; * use the latter lemma to golf other proofs about `(x * y) ^ z`; * drop unneeded argument in `ennreal.inv_rpow_of_pos`, rename it to `ennreal.inv_rpow`; * add `ennreal.strict_mono_rpow_of_pos` and `ennreal.monotone_rpow_of_nonneg`, use themm to golf some proofs.
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chore(analysis/special_functions/pow): golf a few proofs
[Merged by Bors] - chore(analysis/special_functions/pow): golf a few proofs
Jul 14, 2021
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* add `ennreal.zero_rpow_mul_self` and `ennreal.mul_rpow_eq_ite`; * use the latter lemma to golf other proofs about `(x * y) ^ z`; * drop unneeded argument in `ennreal.inv_rpow_of_pos`, rename it to `ennreal.inv_rpow`; * add `ennreal.strict_mono_rpow_of_pos` and `ennreal.monotone_rpow_of_nonneg`, use themm to golf some proofs.
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ennreal.zero_rpow_mul_self
andennreal.mul_rpow_eq_ite
;(x * y) ^ z
;ennreal.inv_rpow_of_pos
, rename it toennreal.inv_rpow
;ennreal.strict_mono_rpow_of_pos
andennreal.monotone_rpow_of_nonneg
, use themm to golf some proofs.