Theorems · Theorem · real analysis
ENNReal.one_lt_top
1 < ⊤
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 13 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.
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_lt_topproof · cited by 52
Cited by13
Results whose statement or proof uses this declaration.
- thickenedIndicatorAux_lt_topproof · cited by 6
- MeasureTheory.tendsto_setToFun_of_L1proof · cited by 3
- MeasureTheory.eLpNorm_add_le'proof · cited by 3
- dimH_subsingletonproof · cited by 2
- ENNReal.LpAddConst_lt_topproof · cited by 2
- ProbabilityTheory.setIntegral_preCDF_fstproof · cited by 2
- ProbabilityTheory.isRatCondKernelCDFAux_preCDFproof · cited by 1
- MeasureTheory.ae_bdd_liminf_atTop_of_eLpNorm_bddproof · cited by 1
- MeasureTheory.ae_bdd_liminf_atTop_rpow_of_eLpNorm_bddproof · cited by 1
- MeasureTheory.Lp.memLp_of_cauchy_tendstoproof · cited by 1
- PMF.apply_ne_topproof · cited by 1
- ProbabilityTheory.ofReal_condCDF_ae_eqproof · cited by 0