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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.IsClosedImmersion.lift.congr_simp

∀ {X Y Z : AlgebraicGeometry.Scheme} (f f_1 : X ⟶ Z) (e_f : f = f_1) (g g_1 : Y ⟶ Z) (e_g : g = g_1)
  [inst : AlgebraicGeometry.IsClosedImmersion f]
  (H : AlgebraicGeometry.Scheme.Hom.ker f ≤ AlgebraicGeometry.Scheme.Hom.ker g),
  AlgebraicGeometry.IsClosedImmersion.lift f g H = AlgebraicGeometry.IsClosedImmersion.lift f_1 g_1 ⋯
Defined in
Mathlib.AlgebraicGeometry.Morphisms.ClosedImmersion
Cited by
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Foundations
Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.IsClosedImmersion
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Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.IdealSheafData · cited by 192Scheme.IdealSheafDataAlgebraicGeometry.Scheme.Hom.ker · cited by 51Hom.kerAlgebraicGeometry.IsClosedImmersion · cited by 49AlgebraicGeometry.IsClose…AlgebraicGeometry.IsClosedImmersion.lift · cited by 5IsClosedImmersion.liftlift.congr_simpCITED BYCITES

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