[Merged by Bors] - feat(order/liminf_limsup): composition g ∘ f is bounded iff f is bounded
#14479
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…bounded (#14479) * If `g` is a monotone function that tends to infinity at infinity, then a filter is bounded from above under `g ∘ f` iff it is bounded under `f`, similarly for antitone functions and/or filter bounded from below. * A filter is bounded from above under `real.exp ∘ f` iff it is is bounded from above under `f`. * Use `monotone` in `real.exp_monotone`. * Add `@[mono]` to `real.exp_strict_mono`.
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g ∘ f is bounded iff f is boundedg ∘ f is bounded iff f is bounded
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…bounded (#14479) * If `g` is a monotone function that tends to infinity at infinity, then a filter is bounded from above under `g ∘ f` iff it is bounded under `f`, similarly for antitone functions and/or filter bounded from below. * A filter is bounded from above under `real.exp ∘ f` iff it is is bounded from above under `f`. * Use `monotone` in `real.exp_monotone`. * Add `@[mono]` to `real.exp_strict_mono`.
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gis a monotone function that tends to infinity at infinity, then a filter is bounded from above underg ∘ fiff it is bounded underf, similarly for antitone functions and/or filter bounded from below.real.exp ∘ fiff it is is bounded from above underf.monotoneinreal.exp_monotone.@[mono]toreal.exp_strict_mono.