Theorems · Theorem · real analysis
ENNReal.coe_lt_top
∀ {r : NNReal}, ↑r < ⊤- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 52 results in Mathlib
- Foundations
- Depth 110 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 · cited by 9,879
- Top.topstatement · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- WithTop.coe_lt_topproof · cited by 44
Cited by52
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_lt_topproof · cited by 22
- ENNReal.one_lt_topproof · cited by 13
- MeasureTheory.MemLp.const_smulproof · cited by 11
- BoundedContinuousFunction.integrableproof · cited by 9
- MeasureTheory.MemLp.zeroproof · cited by 8
- ENNReal.zero_lt_topproof · cited by 7
- MemHolder.coe_nnHolderNorm_eq_eHolderNormproof · cited by 5
- ContinuousMultilinearMap.hasStrictFDerivAtproof · cited by 4
- MeasureTheory.Filtration.memLp_limitProcess_of_eLpNorm_bddproof · cited by 4
- MeasureTheory.HasFiniteIntegral.smulproof · cited by 4
- MeasureTheory.hausdorffMeasure_pi_realproof · cited by 3
- MeasureTheory.FinMeasAdditive.map_empty_eq_zeroproof · cited by 3