homOfVector — Mathlib

English

The appTop component of the factorization is injective.

Русский

Компонента appTop факторизации инъективна.

LaTeX

$$$ \text{Injective} \left| (\mathrm{specTargetImageFactorization} f).appTop \right.$$$

Lean4

/-- The morphism `X ⟶ 𝔸(n; S)` given by a `X ⟶ S` and a choice of `n`-coordinate functions. -/
def homOfVector (f : X ⟶ S) (v : n → Γ(X, ⊤)) : X ⟶ 𝔸(n; S) :=
  pullback.lift f ((toSpecMvPolyIntEquiv n).symm v) (by simp)

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