Theorems · Theorem · real analysis
ENNReal.mul_div_cancel
∀ {a b : ENNReal}, a ≠ 0 → a ≠ ⊤ → a * (b / a) = bSee ENNReal.mul_div_cancel' for a stronger version.
- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 135 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 and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- ENNReal.mul_div_cancel'proof · cited by 1
Cited by14
Results whose statement or proof uses this declaration.
- ENNReal.eq_div_iffproof · cited by 4
- MeasureTheory.measure_mul_laverageproof · cited by 2
- MeasureTheory.measure_eq_sub_vaddproof · cited by 2
- ContinuousWithinAt.oscillationWithin_eq_zeroproof · cited by 2
- MeasureTheory.measure_eq_div_smulproof · cited by 2
- MeasureTheory.MemLp.eLpNorm_indicator_le_of_measproof · cited by 1
- MeasureTheory.SimpleFunc.exists_le_lowerSemicontinuous_lintegral_geproof · cited by 1
- MeasureTheory.measure_lintegral_div_measureproof · cited by 1
- MeasureTheory.SimpleFunc.exists_upperSemicontinuous_le_lintegral_leproof · cited by 1
- MeasureTheory.measure_lintegral_sub_measureproof · cited by 1
- ProbabilityTheory.Fernique.measure_gt_normThreshold_le_rpowproof · cited by 1