Theorems · Theorem · functional analysis
eq_one_or_norm_pos
∀ {E : Type u_5} [inst : NormedGroup E] (a : E), a = 1 ∨ 0 < ‖a‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedGroup
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
- LE.le.eq_or_ltproof · cited by 220
- norm_nonneg'proof · cited by 21
- NormedGroupstatement and proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- eq_one_or_nnnorm_posproof · cited by 0