Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.residueFieldCongr_fromSpecResidueField

∀ {X : AlgebraicGeometry.Scheme} {x y : ↥X} (h : x = y),
  CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Spec.map (AlgebraicGeometry.Scheme.residueFieldCongr h).hom)
      (X.fromSpecResidueField x) =
    X.fromSpecResidueField y

Defined in: Mathlib.AlgebraicGeometry.ResidueField
Cited by: 2 results in Mathlib
Foundations: Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites17

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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AlgebraicGeometry.Specstatement · cited by 626

Cited by2

Results whose statement or proof uses this declaration.

AlgebraicGeometry.Scheme.Pullback.Triplet.SpecMap_tensorInl_fromSpecResidueFieldproof · cited by 4
AlgebraicGeometry.Scheme.residueFieldCongr_fromSpecResidueField_assocproof · cited by 0