Theorems · Theorem · real analysis
ENNReal.iSup_add
∀ {ι : Sort u_1} {a : ENNReal} [Nonempty ι] (f : ι → ENNReal), (⨆ i, f i) + a = ⨆ i, f i + a- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- iSupstatement and proof · cited by 2,415
- add_commproof · cited by 1,535
- ENNReal.add_iSupproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- eVariationOn.eVariationOn_on_inter_Iic_eq_Iio_add_edistproof · cited by 4
- ENNReal.iSup_add_iSup_leproof · cited by 2
- MeasureTheory.Content.borel_le_caratheodoryproof · cited by 1
- MeasureTheory.OuterMeasure.isCaratheodory_iUnion_of_disjointproof · cited by 1