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Theorems · Theorem · functional analysis

mulLeft_bound

∀ {α : Type u_2} [inst : NonUnitalSeminormedRing α] (x y : α), ‖(AddMonoidHom.mulLeft x) y‖ ≤ ‖x‖ * ‖y‖

In a seminormed ring, the left-multiplication AddMonoidHom is bounded.

Defined in
Mathlib.Analysis.Normed.Ring.Basic
Cited by
0 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalSeminormedRing

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