Theorems · Theorem · real analysis
ENNReal.toReal_add
∀ {a b : ENNReal}, a ≠ ⊤ → b ≠ ⊤ → (a + b).toReal = a.toReal + b.toReal- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 22 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.toRealstatement and proof · cited by 859
Cited by22
Results whose statement or proof uses this declaration.
- variationOnFromTo.addproof · cited by 10
- MeasureTheory.integral_add_measureproof · cited by 9
- MeasureTheory.measureReal_add_applyproof · cited by 6
- MeasureTheory.lpNorm_add_leproof · cited by 5
- MeasureTheory.measureReal_union_leproof · cited by 4
- MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnormproof · cited by 4
- MeasureTheory.measureReal_union₀proof · cited by 2
- MeasureTheory.measureReal_inter_add_sdiffproof · cited by 2
- MeasureTheory.measureReal_inter_add_sdiff₀proof · cited by 2
- ENNReal.toReal_add_leproof · cited by 2
- ENNReal.HolderTriple.toReal_iffproof · cited by 2
- MeasureTheory.abs_measureReal_sub_le_measureReal_symmDiff'proof · cited by 1