Theorems · Theorem · functional analysis
coe_nnnorm
∀ {E : Type u_5} [inst : SeminormedAddGroup E] (a : E), ↑‖a‖₊ = ‖a‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 114 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- NNReal.toRealstatement · cited by 1,260
- NNNorm.nnnormstatement · cited by 952
- SeminormedAddGroupstatement and proof · cited by 331
Cited by33
Results whose statement or proof uses this declaration.
- EisensteinSeries.norm_eq_max_natAbsproof · cited by 8
- nnnorm_eq_zeroproof · cited by 6
- MeasureTheory.AECover.integrable_of_integral_norm_boundedproof · cited by 6
- hasFDerivAt_integral_of_dominated_of_fderiv_leproof · cited by 5
- hasDerivAt_integral_of_dominated_loc_of_deriv_leproof · cited by 4
- NumberField.house_eq_sup'proof · cited by 2
- div_le_egauge_closedBallproof · cited by 2
- NumberField.mixedEmbedding.norm_eq_sup'_normAtPlaceproof · cited by 2
- IsOpen.exists_contDiff_support_eqproof · cited by 2
- NumberField.hermiteTheorem.minkowskiBound_lt_boundOfDiscBddproof · cited by 2
- MeasureTheory.hasSum_integral_of_summable_integral_normproof · cited by 2
- HasFPowerSeriesWithinAt.compproof · cited by 2