Theorems · Theorem · real analysis
ENNReal.abs_toReal
∀ {x : ENNReal}, |x.toReal| = x.toReal- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 4 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- absstatement · cited by 1,814
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
- ENNReal.toRealstatement · cited by 859
- abs_zeroproof · cited by 88
- ENNReal.recTopCoeproof · cited by 48
- NNReal.abs_eqproof · cited by 25
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_sum_diracproof · cited by 2
- lipschitzWith_thickenedIndicatorproof · cited by 1
- MeasureTheory.abs_measureReal_sub_le_measureReal_symmDiff'proof · cited by 1
- variationOnFromTo.abs_le_eVariationOnproof · cited by 0