of_surjective — Mathlib

English

A nonrecursive formulation of the polynomial induction principle for finitely presented ring maps.

Русский

Нестационное формулирование принципа индукции для FP-гомоморфизмов через многочлены.

LaTeX

$$$\\text{polynomial_induction}$ (nonrecursive version)$$

Lean4

theorem of_surjective (f : A →ₐ[R] B) (hf : Surjective f) (hker : (RingHom.ker f.toRingHom).FG) :
    f.FinitePresentation := by
  -- Porting note: added `convert`
  convert RingHom.FinitePresentation.of_surjective f hf hker

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