Theorems · Theorem · real analysis
ENNReal.toReal_one
ENNReal.toReal 1 = 1
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 106 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.
- Realstatement · cited by 25,697
- ENNRealstatement · cited by 9,879
- ENNReal.toRealstatement · cited by 859
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_add_leproof · cited by 10
- MeasureTheory.MemLp.condExpproof · cited by 3
- ENNReal.HolderConjugate.of_toRealproof · cited by 2
- MeasureTheory.count_real_singleton'proof · cited by 2
- ENNReal.LpAddConst_lt_topproof · cited by 2
- MeasureTheory.average_constproof · cited by 1
- BoxIntegral.unitPartition.integralSum_eq_tsum_divproof · cited by 1
- ProbabilityTheory.sum_prob_mem_Ioc_leproof · cited by 1
- MeasureTheory.MemLp.lpNorm_condExp_le_lpNormproof · cited by 1
- MeasureTheory.Integrable.uniformIntegrable_condExpproof · cited by 1
- Convex.integral_memproof · cited by 1
- WithLp.prod_norm_eq_idemFst_of_L1proof · cited by 0