Theorems · Theorem · functional analysis
enorm_ne_zero
∀ {E : Type u_8} [inst : TopologicalSpace E] [inst_1 : ENormedAddMonoid E] {a : E}, ‖a‖ₑ ≠ 0 ↔ a ≠ 0- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 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
- ENorm.enormstatement · cited by 715
- ENormedAddMonoidstatement and proof · cited by 67
- Iff.neproof · cited by 52
- enorm_eq_zeroproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_restrict_eq_of_support_subsetproof · cited by 1
- enorm_posproof · cited by 0
- MeasureTheory.hasFiniteIntegral_const_iff_isFiniteMeasureproof · cited by 0