ofEndHom — Mathlib

English

The action induced by a monoid hom to End(α) defines a MulAction M α via [MulAction.ofEndHom f].

Русский

Действие, индуцированное гомоморфизмом моноидов в End(α), задаёт действие MulAction M α через [MulAction.ofEndHom f].

LaTeX

$$$\forall f : M \to_* \mathrm{End}(\alpha), \; \text{MulAction.ofEndHom}(f) : \mathrm{MulAction} M \alpha.$$$

Lean4

/-- The monoid action induced by a monoid hom to `Function.End α`

See note [reducible non-instances]. -/
abbrev ofEndHom (f : M →* Function.End α) : MulAction M α :=
  .compHom α f

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