Theorems · Theorem · real analysis
ENNReal.add_iSup
∀ {ι : Sort u_1} {a : ENNReal} [Nonempty ι] (f : ι → ENNReal), a + ⨆ i, f i = ⨆ i, a + f i- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 130 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.
Cites17
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
- Top.topproof · cited by 9,680
- iSupstatement and proof · cited by 2,415
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- eq_or_neproof · cited by 1,117
- add_le_addproof · cited by 666
- le_imp_le_of_le_of_leproof · cited by 576
- le_iSupproof · cited by 207
- iSup_leproof · cited by 190
- Classical.arbitraryproof · cited by 161
- le_iSup_of_leproof · cited by 79
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.iSup_addproof · cited by 4
- ENNReal.add_biSup'proof · cited by 3
- ENNReal.iSup_add_iSup_leproof · cited by 2
- MeasureTheory.Content.borel_le_caratheodoryproof · cited by 1
- MeasureTheory.OuterMeasure.IsMetric.borel_le_caratheodoryproof · cited by 1