DenselyNormedField.lt_norm_lt

∀ {α : Type u_5} [self : DenselyNormedField α] (x y : ℝ), 0 ≤ x → x < y → ∃ a, x < ‖a‖ ∧ ‖a‖ < y

The range of the norm is dense in the collection of nonnegative real numbers.

Defined in: Mathlib.Analysis.Normed.Field.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DenselyNormedField

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