baseChange_polynomial — Mathlib

English

NonsingularLift is equivalent to Nonsingular on representatives modulo the orbit relation of units.

Русский

Лифтинг несингулярности равносилен несингулярности на представителей по орбите модуляющеи единицы.

LaTeX

$$W'.NonsingularLift(Quotient.mk(orbitRel, P)) \\iff W'.Nonsingular P$$

Lean4

theorem baseChange_polynomial :
    (W'.baseChange B).toProjective.polynomial = MvPolynomial.map f (W'.baseChange A).toProjective.polynomial := by
  rw [← map_polynomial, map_baseChange]

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