Theorems · Theorem · general topology
NNReal.continuous_coe
Continuous NNReal.toReal
- Defined in
- Mathlib.Topology.UniformSpace.Real
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Continuousstatement · cited by 2,592
- NNReal.toRealstatement · cited by 1,260
- continuous_subtype_valproof · cited by 159
Cited by23
Results whose statement or proof uses this declaration.
- Real.continuous_sqrtproof · cited by 6
- NNReal.coe_tsumproof · cited by 6
- Measure.ext_of_integral_prod_mul_prod_boundedContinuousFunctionproof · cited by 4
- ENNReal.continuousOn_toRealproof · cited by 3
- MeasureTheory.Integrable.real_toNNRealproof · cited by 3
- MeasureTheory.setToFun_tsumproof · cited by 3
- BoundedContinuousFunction.toReal_lintegral_coe_eq_integralproof · cited by 3
- ContinuousMap.coeNNRealRealproof · cited by 3
- measurable_coe_nnreal_realproof · cited by 3
- continuousOn_cfc_nnrealproof · cited by 2
- continuousOn_cfcₙ_nnrealproof · cited by 2