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Theorems · Definition · functional analysis

Dilation.mulLeft

{α : Type u_1} → [inst : NonUnitalNormedRing α] → [NormMulClass α] → (a : α) → a ≠ 0 → α →ᵈ α

Multiplication by a nonzero element a on the left, as a Dilation of a ring with a strictly multiplicative norm.

Defined in
Mathlib.Analysis.Normed.Ring.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNormedRingNormMulClass

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