LinearEquiv.smulOfNeZero

(K : Type u_3) →
  (M : Type u_5) → [inst : Field K] → [inst_1 : AddCommGroup M] → [inst_2 : Module K M] → (a : K) → a ≠ 0 → M ≃ₗ[K] M

Multiplying by a nonzero element a of the field K is a linear equivalence.

Defined in: Mathlib.Algebra.Module.Equiv.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field AddCommGroup Module

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