Theorems · Theorem · real analysis
ENNReal.toReal_sSup
∀ (s : Set ENNReal), (∀ r ∈ s, r ≠ ⊤) → (sSup s).toReal = sSup (ENNReal.toReal '' s)
- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Set.imagestatement and proof · cited by 5,609
- NNReal.toRealproof · cited by 1,260
- SupSet.sSupstatement and proof · cited by 954
- ENNReal.toRealstatement · cited by 859
- Set.image_congrproof · cited by 533
- ENNReal.toNNRealproof · cited by 165
- Set.image_imageproof · cited by 140
- NNReal.coe_sSupproof · cited by 5
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