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Theorems · Theorem · functional analysis

norm_commutator_units_sub_one_le

∀ {α : Type u_2} [inst : SeminormedRing α] (a b : αˣ),
  ‖↑(a * b * a⁻¹ * b⁻¹) - 1‖ ≤ 2 * ‖↑a⁻¹‖ * ‖↑b⁻¹‖ * ‖↑a - 1‖ * ‖↑b - 1‖
Defined in
Mathlib.Analysis.Normed.Ring.Basic
Cited by
2 results in Mathlib
Foundations
Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedRing

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