Theorems · Theorem · real analysis
ENNReal.toNNReal_eq_zero_iff
∀ (x : ENNReal), x.toNNReal = 0 ↔ x = 0 ∨ x = ⊤
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 3 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.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement · cited by 9,680
- NNRealstatement · cited by 4,310
- ENNReal.toNNRealstatement · cited by 165
- WithTop.untopD_eq_self_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- ENNReal.toNNReal_ne_zeroproof · cited by 2
- MeasureTheory.Measure.rnDeriv_smul_right_of_ne_topproof · cited by 1
- MeasureTheory.Measure.rnDeriv_smul_right_of_ne_top'proof · cited by 1