feat(data/real/basic): Add some supr/infi lemmas #3959
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Co-authored-by: Patrick Massot <patrickmassot@free.fr>
| @@ -382,6 +382,18 @@ have bdd_above {x | -x ∈ s} → bdd_below s, from | |||
| have ¬ bdd_above {x | -x ∈ s}, from mt this hs, | |||
| neg_eq_zero.2 $ Sup_of_not_bdd_above $ this | |||
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| lemma real.le_supr {ι : Type*} {f : ι → ℝ} {b : ℝ} (h : ∀ i, f i ≤ b) (i) : f i ≤ supr f := | |||
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Are you sure you aren't already in the real namespace? (The linter will tell us anyway).
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Aren't the general versions of these lemmas already in |
bryangingechen
changed the title
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Thanks for the pointer! It took a moment to figure out how to best use |
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Co-authored-by: Patrick Massot patrickmassot@free.fr
The
suprones were useful for a proof of IMO 1972 B2.