Theorems · Theorem · real analysis
ENNReal.add_lt_top
∀ {a b : ENNReal}, a + b < ⊤ ↔ a < ⊤ ∧ b < ⊤- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.topstatement · cited by 9,680
- WithTop.add_lt_topproof · cited by 2
Cited by27
Results whose statement or proof uses this declaration.
- ENNReal.add_ne_topproof · cited by 16
- MeasureTheory.Integrable.add_measureproof · cited by 6
- Metric.infEDist_le_infEDist_add_hausdorffEDistproof · cited by 4
- MeasureTheory.measure_sdiff_eq_topproof · cited by 3
- infEDist_thickeningproof · cited by 3
- MeasureTheory.measure_union_lt_topproof · cited by 3
- MeasureTheory.measureReal_union_add_inter₀proof · cited by 2
- MeasureTheory.SimpleFunc.FinMeasSupp.pairproof · cited by 2
- MeasureTheory.eLpNorm_add_lt_topproof · cited by 2
- MeasureTheory.Integrable.add'proof · cited by 2
- MeasureTheory.FinStronglyMeasurable.addproof · cited by 1
- MeasureTheory.ae_bdd_liminf_atTop_of_eLpNorm_bddproof · cited by 1