Theorems · Theorem · real analysis
Real.toNNReal_zero
Real.toNNReal 0 = 0
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 9 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
- le_rflproof · cited by 1,558
- Real.toNNRealstatement · cited by 267
- NNReal.eqproof · cited by 201
- Real.coe_toNNRealproof · cited by 27
Cited by9
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_zeroproof · cited by 56
- Real.sqrt_zeroproof · cited by 28
- IsGreatest.nnnorm_cfcₙ_nnrealproof · cited by 5
- continuousOn_cfcₙ_nnrealproof · cited by 2
- ProbabilityTheory.Kernel.singularPart_of_subset_mutuallySingularSetSliceproof · cited by 1
- MeasureTheory.addHaar_image_eq_zero_of_det_fderivWithin_eq_zero_auxproof · cited by 1
- CompletelyRegularSpace.exists_BCNNproof · cited by 1
- cfcₙ_tsubproof · cited by 0
- ProbabilityTheory.tendstoInDistribution_inv_sqrt_mul_sum_subproof · cited by 0