Theorems · Theorem · real analysis
Real.toNNReal_one
Real.toNNReal 1 = 1
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 109 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
- NNRealstatement · cited by 4,310
- zero_le_oneproof · cited by 316
- Real.toNNRealstatement · cited by 267
- NNReal.eqproof · cited by 201
- Real.coe_toNNRealproof · cited by 27
Cited by13
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_oneproof · cited by 61
- Real.sqrt_oneproof · cited by 16
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- rieszContentAux_image_nonemptyproof · cited by 3
- Real.HolderConjugate.toNNRealproof · cited by 2
- Real.toNNReal_le_oneproof · cited by 2
- spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smulproof · cited by 1
- ProbabilityTheory.Kernel.singularPart_of_subset_mutuallySingularSetSliceproof · cited by 1
- Complex.lipschitz_equivRealProdproof · cited by 1
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1
- CompletelyRegularSpace.exists_BCNNproof · cited by 1
- HasSum.isProbabilityMeasure_sum_diracproof · cited by 0