Theorems · Theorem · functional analysis
eq_of_norm_div_eq_zero
∀ {E : Type u_5} [inst : NormedGroup E] {a b : E}, ‖a / b‖ = 0 → a = bAlias of the forward direction of norm_div_eq_zero_iff.
- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 0 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.
Cites4
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
- NormedGroupstatement and proof · cited by 18
- norm_div_eq_zero_iffproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.