Theorems · Theorem · real analysis
ENNReal.toNNReal_sSup
∀ (s : Set ENNReal), (∀ r ∈ s, r ≠ ⊤) → (sSup s).toNNReal = sSup (ENNReal.toNNReal '' s)
- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Set.imagestatement · cited by 5,609
- NNRealstatement · cited by 4,310
- SupSet.sSupstatement and proof · cited by 954
- Subtype.range_coe_subtypeproof · cited by 170
- ENNReal.toNNRealstatement and proof · cited by 165
- ENNReal.toNNReal_iSupproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.toReal_sSupproof · cited by 0