Theorems · Theorem · real analysis
ENNReal.ofReal_lt_top
∀ {r : ℝ}, ENNReal.ofReal r < ⊤- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 111 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
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- ENNReal.ofRealstatement · cited by 863
- ENNReal.coe_lt_topproof · cited by 52
Cited by22
Results whose statement or proof uses this declaration.
- edist_lt_topproof · cited by 32
- Real.Gamma_pos_of_posproof · cited by 17
- MeasureTheory.MemLp.of_le_mulproof · cited by 7
- MonotoneOn.eVariationOn_eqproof · cited by 4
- infEDist_thickeningproof · cited by 3
- MeasureTheory.eLpNormEssSup_lt_top_of_ae_boundproof · cited by 3
- MeasureTheory.AECover.integrable_of_lintegral_enorm_boundedproof · cited by 3
- Metric.infEDist_le_infEDist_cthickening_addproof · cited by 3
- MeasureTheory.Integrable.op_fst_sndproof · cited by 2
- ProbabilityTheory.tsum_prob_mem_Ioi_lt_topproof · cited by 1
- ProbabilityTheory.strong_law_aux1proof · cited by 1
- ProbabilityTheory.evariance_mulproof · cited by 1