Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.finrank_of_isPullback
∀ {P X Y Z : AlgebraicGeometry.Scheme} (fst : P ⟶ X) (snd : P ⟶ Y) (f : X ⟶ Z) (g : Y ⟶ Z),
CategoryTheory.IsPullback fst snd f g →
∀ [AlgebraicGeometry.Flat f] [AlgebraicGeometry.IsFinite f] (y : ↥Y),
AlgebraicGeometry.Scheme.Hom.finrank snd y = AlgebraicGeometry.Scheme.Hom.finrank f (g y)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- TopCatstatement · cited by 1,889
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.finrank_pullback_fstproof · cited by 0