Mathlib Map

Theorems · Definition · real analysis

ENNReal.toNNReal

ENNReal → NNReal

toNNReal x returns x if it is real, otherwise 0.

Defined in
Mathlib.Data.ENNReal.Basic
Cited by
165 results in Mathlib
Foundations
Depth 104 from the axioms, rests on 1,985 definitions · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.toReal · cited by 859ENNReal.toRealENNReal.toReal_nonneg · cited by 86ENNReal.toReal_nonnegENNReal.coe_toNNReal · cited by 53ENNReal.coe_toNNRealENNReal.toReal_inv · cited by 31ENNReal.toReal_invMeasureTheory.FiniteMeasure.testAgainstNN · cited by 27FiniteMeasure.testAgainst…thickenedIndicator · cited by 23thickenedIndicatorENNReal.toReal_sum · cited by 15ENNReal.toReal_sumnnHolderNorm · cited by 13nnHolderNormENNReal.toNNReal_mul · cited by 12ENNReal.toNNReal_mulENNReal.toReal_rpow · cited by 12ENNReal.toReal_rpowMeasureTheory.measureUnivNNReal · cited by 11MeasureTheory.measureUniv…ENNReal.toNNReal_coe · cited by 10ENNReal.toNNReal_coeENNReal.toNNReal_mono · cited by 10ENNReal.toNNReal_monothickenedIndicator_apply · cited by 9thickenedIndicator_applyENNReal.tendsto_toNNReal · cited by 8ENNReal.tendsto_toNNRealENNReal · cited by 9879ENNRealNNReal · cited by 4310NNRealWithTop.untopD · cited by 33WithTop.untopDENNReal.toNNRealCITED BYCITES

Cites3

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

Cited by176

Results whose statement or proof uses this declaration.