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Theorems · Theorem · functional analysis

eq_of_norm_div_eq_zero

∀ {E : Type u_5} [inst : NormedGroup E] {a b : E}, ‖a / b‖ = 0 → a = b

Alias 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

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