nonsingularLift_some — Mathlib

English

For any a,b in R, the lifted nonsingularity of the vector [a,b,1] is equivalent to the affine nonsingularity of (a,b).

Русский

Для любых a,b в R подъём безсингулярности вектора [a,b,1] равносилен аффинной несингуларности (a,b).

LaTeX

$$$$W'\\mathrm{NonsingularLift}(\\overline{![a,b,1]}) \\iff W'\\mathrm{toAffine.Nonsingular}(a,b)$$$$

Lean4

theorem nonsingularLift_some (a b : R) : W'.NonsingularLift ⟦![a, b, 1]⟧ ↔ W'.toAffine.Nonsingular a b :=
  nonsingular_some a b

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