Theorems · Theorem · algebraic geometry
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.lift.congr_simp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y Z : AlgebraicGeometry.PresheafedSpace C} (f f_1 : X ⟶ Z)
(e_f : f = f_1) [hf : AlgebraicGeometry.PresheafedSpace.IsOpenImmersion f] (g g_1 : Y ⟶ Z) (e_g : g = g_1)
(H :
Set.range ⇑(CategoryTheory.ConcreteCategory.hom g.base) ⊆ Set.range ⇑(CategoryTheory.ConcreteCategory.hom f.base)),
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.lift f g H =
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.lift f_1 g_1 ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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