Theorems · Theorem · functional analysis
continuous_enorm
∀ {E : Type u_7} [inst : TopologicalSpace E] [inst_1 : ContinuousENorm E], Continuous fun a => ‖a‖ₑ- Defined in
- Mathlib.Analysis.Normed.Group.Continuity
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement · cited by 9,879
- Continuousstatement · cited by 2,592
- ENorm.enormstatement · cited by 715
- ContinuousENormstatement and proof · cited by 290
- ContinuousENorm.continuous_enormproof · cited by 5
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.enormproof · cited by 29
- MeasureTheory.StronglyMeasurable.enormproof · cited by 19
- measurable_enormproof · cited by 8
- Continuous.enormproof · cited by 3
- Filter.Tendsto.enormproof · cited by 2
- MeasureTheory.ae_tendsto_enormproof · cited by 2
- MeasureTheory.Lp.eLpNorm'_lim_eq_lintegral_liminfproof · cited by 1
- MeasureTheory.Lp.eLpNorm_exponent_top_lim_eq_essSup_liminfproof · cited by 1
- spectrum.spectralRadius_lt_of_forall_lt_of_nonemptyproof · cited by 1
- Inseparable.enorm_eq_enormproof · cited by 0
- QuotientGroup.integral_mul_eq_integral_automorphize_mulproof · cited by 0
- QuotientAddGroup.integral_mul_eq_integral_automorphize_mulproof · cited by 0