Theorems · Theorem · real analysis
ENNReal.zero_ne_top
0 ≠ ⊤
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 30 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- ENNReal.coe_ne_topproof · cited by 100
Cited by30
Results whose statement or proof uses this declaration.
- integrableOn_Icc_iff_integrableOn_Iocproof · cited by 7
- integrableOn_Ici_iff_integrableOn_Ioiproof · cited by 7
- MeasureTheory.isTightMeasureSet_iff_exists_isCompact_measure_compl_leproof · cited by 7
- MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm'proof · cited by 5
- MeasureTheory.tendsto_setToFun_of_dominated_convergenceproof · cited by 5
- MeasureTheory.projectiveFamilyContent_ne_topproof · cited by 3
- dimH_iUnionproof · cited by 3
- integrableOn_Ioc_iff_integrableOn_Iooproof · cited by 3
- VitaliFamily.ae_tendsto_average_norm_subproof · cited by 3
- ENNReal.tendsto_toReal_zero_iffproof · cited by 3
- ProbabilityTheory.Kernel.tendsto_integral_density_of_antitoneproof · cited by 2
- MeasureTheory.tendsto_measure_sigmaFiniteSetGEproof · cited by 1