Theorems · Theorem · real analysis
NNReal.coe_ne_zero
∀ {r : NNReal}, ↑r ≠ 0 ↔ r ≠ 0- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 106 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 and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
- Iff.notproof · cited by 489
- NNReal.coe_eq_zeroproof · cited by 11
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.hasSum_integral_measureproof · cited by 4
- FormalMultilinearSeries.ofScalars_radius_eq_of_tendstoproof · cited by 3
- MeasureTheory.Measure.addModularCharacterFun_eq_addHaarScalarFactorproof · cited by 3
- MeasureTheory.Measure.modularCharacterFun_eq_haarScalarFactorproof · cited by 3
- FormalMultilinearSeries.inv_le_ofScalars_radius_of_tendstoproof · cited by 2
- HasConstantSpeedOnWith.ratioproof · cited by 1
- Dilation.ratio_unique_of_dist_ne_zeroproof · cited by 1
- ContinuousLinearMap.opNNNorm_le_bound'proof · cited by 0