Theorems · Theorem · real analysis
ENNReal.eq_top_of_forall_nnreal_le
∀ {x : ENNReal}, (∀ (r : NNReal), ↑r ≤ x) → x = ⊤- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- top_uniqueproof · cited by 102
- ENNReal.le_of_forall_nnreal_ltproof · cited by 16
Cited by7
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.radius_eq_top_of_summable_normproof · cited by 2
- Real.volume_univproof · cited by 2
- StieltjesFunction.measure_Ioi_of_tendsto_atTop_atTopproof · cited by 2
- ENNReal.exists_frequently_lt_of_liminf_ne_topproof · cited by 1
- ENNReal.exists_frequently_lt_of_liminf_ne_top'proof · cited by 1
- FormalMultilinearSeries.radius_eq_top_of_forall_nnreal_isBigOproof · cited by 1
- StieltjesFunction.measure_Iic_of_tendsto_atBot_atBotproof · cited by 1