Theorems · Theorem · real analysis
ENNReal.add_halves
∀ (a : ENNReal), a / 2 + a / 2 = a
- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 133 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
- mul_oneproof · cited by 3,885
- div_eq_mul_invproof · cited by 715
- mul_addproof · cited by 413
- ENNReal.inv_two_add_inv_twoproof · cited by 1
Cited by24
Results whose statement or proof uses this declaration.
- Metric.infEDist_closureproof · cited by 8
- Metric.infEDist_le_infEDist_add_hausdorffEDistproof · cited by 4
- continuousOn_prod_of_subset_closure_continuousOn_lipschitzOnWithproof · cited by 3
- ENNReal.rpow_add_le_mul_rpow_add_rpowproof · cited by 3
- MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetRingproof · cited by 2
- MeasureTheory.tendsto_measure_symmDiff_preimage_nhds_zeroproof · cited by 2
- ENNReal.half_le_selfproof · cited by 2
- StieltjesFunction.outer_Iocproof · cited by 2
- MeasureTheory.Measure.InnerRegularWRT.measurableSet_of_isOpenproof · cited by 2
- MeasureTheory.Measure.InnerRegularWRT.weaklyRegular_of_finiteproof · cited by 1
- MeasurableSet.exists_isOpen_symmDiff_ltproof · cited by 1
- AnalyticOnNhd.eqOn_zero_of_preconnected_of_eventuallyEq_zero_auxproof · cited by 1