Theorems · Theorem · real analysis
NNReal.coe_sSup
∀ (s : Set NNReal), ↑(sSup s) = sSup (NNReal.toReal '' s)
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 and proof · cited by 25,697
- Set.imagestatement and proof · cited by 5,609
- NNRealstatement and proof · cited by 4,310
- Set.Nonemptyproof · cited by 2,627
- NNReal.toRealstatement and proof · cited by 1,260
- Set.Iciproof · cited by 1,070
- SupSet.sSupstatement and proof · cited by 954
- BddAboveproof · cited by 620
- Set.eq_empty_or_nonemptyproof · cited by 248
- bot_eq_zero'proof · cited by 92
- Set.image_emptyproof · cited by 73
Cited by5
Results whose statement or proof uses this declaration.
- NNReal.coe_iSupproof · cited by 8
- ContinuousLinearMap.sSup_unitClosedBall_eq_normproof · cited by 1
- ENNReal.toReal_sSupproof · cited by 0
- ContinuousLinearMap.sSup_sphere_eq_normproof · cited by 0
- ContinuousLinearMap.sSup_unit_ball_eq_normproof · cited by 0