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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Hom.cover.congr_simp

∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {X S : AlgebraicGeometry.Scheme} (f f_1 : X ⟶ S)
  (e_f : f = f_1) (hf : P f) [inst : AlgebraicGeometry.Surjective f],
  AlgebraicGeometry.Scheme.Hom.cover f hf = AlgebraicGeometry.Scheme.Hom.cover f_1 ⋯
Defined in
Mathlib.AlgebraicGeometry.Sites.QuasiCompact
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Foundations
Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.Surjective
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Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…AlgebraicGeometry.Scheme.precoverage · cited by 336Scheme.precoverageAlgebraicGeometry.Scheme.Cover · cited by 88Scheme.CoverAlgebraicGeometry.Surjective · cited by 48AlgebraicGeometry.Surject…AlgebraicGeometry.Scheme.Hom.cover · cited by 8Hom.covercover.congr_simpCITED BYCITES

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