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Theorems · Theorem · real analysis

ENNReal.ofReal_one

ENNReal.ofReal 1 = 1
Defined in
Mathlib.Data.ENNReal.Basic
Cited by
61 results in Mathlib
Foundations
Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.ofReal_rpow_of_nonneg · cited by 13ENNReal.ofReal_rpow_of_no…MeasureTheory.Measure.addHaar_smul · cited by 13Measure.addHaar_smulProbabilityTheory.Kernel.densityProcess_le_one · cited by 5Kernel.densityProcess_le_…EReal.exp_zero · cited by 5EReal.exp_zeroComplex.one_add_cpow_hasFPowerSeriesOnBall_zero · cited by 3Complex.one_add_cpow_hasF…ProbabilityTheory.Kernel.eLpNorm_densityProcess_le · cited by 3Kernel.eLpNorm_densityPro…MeasureTheory.hausdorffMeasure_pi_real · cited by 3MeasureTheory.hausdorffMe…MeasureTheory.addHaarMeasure_eq_volume_pi · cited by 3MeasureTheory.addHaarMeas…ProbabilityTheory.Kernel.withDensity_one_sub_rnDerivAux · cited by 2Kernel.withDensity_one_su…BoxIntegral.unitPartition.volume_box · cited by 2unitPartition.volume_boxOrientation.measure_orthonormalBasis · cited by 2Orientation.measure_ortho…Real.map_volume_mul_left · cited by 2Real.map_volume_mul_leftMeasureTheory.volume_sum_rpow_lt_one · cited by 2MeasureTheory.volume_sum_…UnitAddTorus.measurePreserving_equivPiIoc · cited by 2UnitAddTorus.measurePrese…MeasureTheory.lintegral_eq_lintegral_meas_le · cited by 2MeasureTheory.lintegral_e…Real · cited by 25697RealENNReal · cited by 9879ENNRealENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealENNReal.ofReal · cited by 863ENNReal.ofRealReal.toNNReal_one · cited by 13Real.toNNReal_oneENNReal.ofReal_oneCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by61

Results whose statement or proof uses this declaration.