Theorems · Theorem · functional analysis
edist_zero_right
∀ {E : Type u_5} [inst : SeminormedAddGroup E] (a : E), edist a 0 = ‖a‖ₑ- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- ENNReal.ofNNRealproof · cited by 1,279
- NNNorm.nnnormproof · cited by 952
- EDist.ediststatement · cited by 735
- ENorm.enormstatement · cited by 715
- SeminormedAddGroupstatement and proof · cited by 331
- edist_nndistproof · cited by 38
- nndist_zero_rightproof · cited by 4
Cited by25
Results whose statement or proof uses this declaration.
- mem_eball_zero_iffproof · cited by 8
- PeriodPair.summable_weierstrassPExceptSummandproof · cited by 3
- MeasureTheory.Integrable.norm_toL1proof · cited by 2
- HasFPowerSeriesWithinOnBall.compContinuousLinearMapproof · cited by 2
- HasFPowerSeriesWithinOnBall.fderivWithin_of_mem_of_analyticOnproof · cited by 2
- HasFPowerSeriesWithinAt.compproof · cited by 2
- MeasureTheory.Integrable.norm_toL1_eq_lintegral_enormproof · cited by 2
- HasFPowerSeriesWithinOnBall.tendsto_partialSum_prodproof · cited by 2
- FormalMultilinearSeries.fderiv_sumproof · cited by 1
- HasFPowerSeriesAt.tendsto_partialSum_prod_of_compproof · cited by 1
- hasFPowerSeriesAt_iffproof · cited by 1
- HasFiniteFPowerSeriesOnBall.bound_zero_of_eq_zeroproof · cited by 1