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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.AffineSpace.isPullback_map

∀ {n : Type u} {S T : AlgebraicGeometry.Scheme} (f : S ⟶ T),
  CategoryTheory.IsPullback (AlgebraicGeometry.AffineSpace.map n f) (AlgebraicGeometry.AffineSpace n S ↘ S)
    (AlgebraicGeometry.AffineSpace n T ↘ T) f
Defined in
Mathlib.AlgebraicGeometry.AffineSpace
Cited by
2 results in Mathlib
Foundations
Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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AlgebraicGeometry.AffineSpace.isIntegralHom_over_iff_isEmpty · cited by 0AffineSpace.isIntegralHom…AlgebraicGeometry.AffineSpace.isOpenMap_over · cited by 0AffineSpace.isOpenMap_overCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeMvPolynomial · cited by 2140MvPolynomialCategoryTheory.Limits.pullback · cited by 864Limits.pullbackCategoryTheory.Limits.pullback.fst · cited by 639pullback.fstCategoryTheory.Limits.pullback.snd · cited by 637pullback.sndAlgebraicGeometry.Spec · cited by 626AlgebraicGeometry.SpecCategoryTheory.IsPullback · cited by 320CategoryTheory.IsPullbackCategoryTheory.Limits.terminal · cited by 141Limits.terminalCategoryTheory.Limits.terminal.from · cited by 77terminal.fromCategoryTheory.over · cited by 76CategoryTheory.overCategoryTheory.IsPullback.of_hasPullback · cited by 70IsPullback.of_hasPullbackCategoryTheory.OverClass · cited by 68CategoryTheory.OverClassAffineSpace.isPullback_mapCITED BYCITES

Cites23

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