Theorems · Theorem · functional analysis
eq_zero_or_nnnorm_pos
∀ {E : Type u_5} [inst : NormedAddGroup E] (a : E), a = 0 ∨ 0 < ‖a‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- NormedAddGroupstatement and proof · cited by 32
- eq_zero_or_norm_posproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.div_le_radius_compContinuousLinearMapproof · cited by 3
- ContinuousLinearMap.exists_nnnorm_eq_one_lt_apply_of_lt_opNNNormproof · cited by 1