Theorems · Theorem · real analysis
NNReal.coe_add
∀ (r₁ r₂ : NNReal), ↑(r₁ + r₂) = ↑r₁ + ↑r₂
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 110 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.
- Realstatement · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
Cited by11
Results whose statement or proof uses this declaration.
- NNReal.toRealHomproof · cited by 13
- MeasureTheory.hahn_decompositionproof · cited by 2
- SpectrumRestricts.nnreal_addproof · cited by 2
- Delone.DeloneSet.eq_of_mem_ballproof · cited by 1
- NNReal.le_add_nndistproof · cited by 1
- NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplexproof · cited by 1
- ProbabilityTheory.Kernel.HasSubgaussianMGF.add_compProdproof · cited by 1
- Real.volume_closedEBallproof · cited by 1
- Real.volume_eballproof · cited by 1
- NNReal.le_iInf_add_iInfproof · cited by 0