Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.subschemeMap.congr_simp
∀ {X Y : AlgebraicGeometry.Scheme} (I : X.IdealSheafData) (J : Y.IdealSheafData) (f f_1 : X ⟶ Y) (e_f : f = f_1)
(H : J ≤ I.map f), I.subschemeMap J f H = I.subschemeMap J f_1 ⋯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
- AlgebraicGeometry.Scheme.IdealSheafData.subschemestatement · cited by 36
- AlgebraicGeometry.Scheme.IdealSheafData.mapstatement and proof · cited by 19
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeMapstatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.exists_mem_of_isClosed_of_nonemptyproof · cited by 1