[Merged by Bors] - feat(algebra/ordered_monoid_lemmas): add one strict_mono lemma and a few doc-strings
#8465
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adomani
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strict_mono lemma and a few doc-stringsstrict_mono lemma and a few doc-strings
fpvandoorn
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Jul 29, 2021
| /-- The product of two strictly monotone functions is strictly monotone. -/ | ||
| @[to_additive | ||
| "The sum of two strictly monotone functions is strictly monotone."] | ||
| lemma strict_mono.mul_strict_mono [has_lt β] [preorder α] |
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I'd prefer the name strict_mono.mul', matching the naming scheme for strict_mono.mul.
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Floris, thanks! I changed the name, and used the unprimed version for the additive one!
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…a few doc-strings (#8465) The product of strictly monotone functions is strictly monotone (and some doc-strings). [Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there.20code.20for.20X.3F/topic/monotonicity.20for.20sums.20and.20products.20of.20monotone.20functions)
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strict_mono lemma and a few doc-stringsstrict_mono lemma and a few doc-strings
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The product of strictly monotone functions is strictly monotone (and some doc-strings).
Zulip discussion