ι_def — Mathlib

English

For any m ∈ M, the canonical map through RingQuot agrees with the canonical injection ι on FreeAlgebra.

Русский

Для любого m ∈ M композиция RingQuot.mkAlgHom с FreeAlgebra.ι совпадает с интеграцией ι.

LaTeX

$$RingQuot.mkAlgHom(R, Rel R M) (FreeAlgebra.ι R m) = ι R m$$

Lean4

theorem ι_def : eta_helper Eq✝ @ι.{} @(delta% @definition✝) :=
  by
  intros
  delta ι
  rw [show wrapped✝ = ⟨@definition✝.{}, rfl✝⟩ from Subtype.ext✝ wrapped✝.2.symm✝]
  rfl

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