Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Cover.sigma_f

∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {S : AlgebraicGeometry.Scheme}
  [inst : AlgebraicGeometry.IsZariskiLocalAtSource P] [inst_1 : UnivLE.{v, u}]
  (𝒰 : AlgebraicGeometry.Scheme.Cover (AlgebraicGeometry.Scheme.precoverage P) S) (x : PUnit.{v + 1}),
  𝒰.sigma.f x = CategoryTheory.Limits.Sigma.desc 𝒰.f

Defined in

Mathlib.AlgebraicGeometry.Cover.Sigma

Cited by

0 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AlgebraicGeometry.IsZariskiLocalAtSourceUnivLE