val — Mathlib

English

Various compatibility statements ensuring SubalgebraClass.val behaves as an algebra homomorphism.

Русский

Различные совместимости, обеспечивающие поведение SubalgebraClass.val как алгебра-гомоморфизм.

LaTeX

$$$\text{val}$ is an algebra homomorphism from S to A$$

Lean4

/-- Embedding of a subalgebra into the algebra, as an algebra homomorphism. -/
def val (s : S) : s →ₐ[R] A :=
  { SubsemiringClass.subtype s,
    SMulMemClass.subtype s with
    toFun := (↑)
    commutes' := fun _ ↦ rfl }

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