Theorems · Theorem · real analysis
ENNReal.sub_lt_self
∀ {a b : ENNReal}, a ≠ ⊤ → a ≠ 0 → b ≠ 0 → a - b < a- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 128 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 and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- pos_iff_ne_zeroproof · cited by 180
- ENNReal.cancel_of_neproof · cited by 23
- AddLECancellable.tsub_lt_selfproof · cited by 3
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.InnerRegularWRT.exists_subset_lt_addproof · cited by 4
- MeasureTheory.exists_isSigmaFiniteSet_measure_geproof · cited by 3
- MeasureTheory.isTightMeasureSet_singleton_of_innerRegularWRTproof · cited by 2
- MeasureTheory.preVariation.exists_Finpartition_sum_geproof · cited by 2
- ENNReal.hasBasis_nhds_of_ne_top'proof · cited by 2
- MeasureTheory.exists_setLIntegral_compl_ltproof · cited by 1
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1proof · cited by 1
- MeasureTheory.Content.innerContent_exists_compactproof · cited by 1
- MeasureTheory.ProbabilityMeasure.toMeasure_add_pos_gt_mem_nhdsproof · cited by 1
- ENNReal.mem_Ioo_self_sub_addproof · cited by 0