Theorems · Theorem · real analysis
NNReal.coe_iSup
∀ {ι : Sort u_2} (s : ι → NNReal), ↑(⨆ i, s i) = ⨆ i, ↑(s i)- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 122 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.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.rangeproof · cited by 4,705
- NNRealstatement and proof · cited by 4,310
- iSupstatement and proof · cited by 2,415
- NNReal.toRealstatement and proof · cited by 1,260
- SupSet.sSupproof · cited by 954
- Set.range_compproof · cited by 223
- NNReal.coe_sSupproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- PiLp.nnnorm_eq_ciSupproof · cited by 3
- BoundedContinuousFunction.nndist_eq_iSupproof · cited by 2
- NNReal.mul_iSupproof · cited by 2
- IsUltrametricDist.nnnorm_tprod_leproof · cited by 1
- IsUltrametricDist.nnnorm_tsum_leproof · cited by 1
- BoundedContinuousFunction.nnnorm_eq_iSup_nnnormproof · cited by 1
- PiLp.nndist_eq_iSupproof · cited by 0
- ENNReal.toReal_iSupproof · cited by 0