Theorems · Theorem · real analysis
Real.toNNReal_coe
∀ {r : NNReal}, (↑r).toNNReal = r- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 108 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.
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
- Real.toNNRealstatement · cited by 267
- NNReal.eqproof · cited by 201
- max_eq_leftproof · cited by 96
Cited by37
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_toRealproof · cited by 65
- Real.coe_sqrtproof · cited by 15
- ENNReal.coe_nnreal_eqproof · cited by 10
- norm_toNNRealproof · cited by 8
- SpectrumRestricts.nnreal_iffproof · cited by 8
- NNReal.coe_tsumproof · cited by 6
- Real.toNNReal_invproof · cited by 5
- LipschitzWith.of_le_add_mulproof · cited by 4
- continuousOn_cfc_nnrealproof · cited by 2
- continuousOn_cfcₙ_nnrealproof · cited by 2
- HasSum.toNNRealproof · cited by 2
- Real.map_toNNReal_atTopproof · cited by 2