Theorems · Theorem · algebraic geometry
AlgebraicGeometry.GeometricallyConnected.comp
∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z) [AlgebraicGeometry.GeometricallyConnected f]
[AlgebraicGeometry.GeometricallyConnected g] [AlgebraicGeometry.UniversallyOpen f]
[AlgebraicGeometry.UniversallyOpen g],
AlgebraicGeometry.GeometricallyConnected (CategoryTheory.CategoryStruct.comp f g)- Cited by
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- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- Fieldproof · cited by 7,404
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Specproof · cited by 626
- CategoryTheory.Limits.pullbackRightPullbackFstIsoproof · cited by 43
- AlgebraicGeometry.Scheme.Hom.homeomorphproof · cited by 13
- AlgebraicGeometry.GeometricallyConnectedstatement and proof · cited by 10
- AlgebraicGeometry.UniversallyOpenstatement and proof · cited by 8
- AlgebraicGeometry.geometrically_iff_of_isClosedUnderIsomorphismsproof · cited by 3
- Homeomorph.connectedSpace_iffproof · cited by 1
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