Theorems · Theorem · real analysis
NNReal.coe_eq_zero
∀ {r : NNReal}, ↑r = 0 ↔ r = 0- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 105 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 and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement and proof · cited by 1,260
- NNReal.coe_injproof · cited by 30
- NNReal.coe_zeroproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- NNReal.coe_ne_zeroproof · cited by 8
- nnnorm_eq_zeroproof · cited by 6
- Metric.inseparable_iffproof · cited by 6
- Real.sqrt_eq_zero'proof · cited by 3
- nndist_selfproof · cited by 2
- NNReal.sInf_emptyproof · cited by 2
- nnnorm_eq_zero'proof · cited by 1
- MeasureTheory.Measure.mul_addHaarScalarFactor_smulproof · cited by 1
- NNReal.rpow_eq_zero_iffproof · cited by 1
- MeasureTheory.Lp.norm_eq_zero_iffproof · cited by 0