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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Etale.eq_smoothOfRelativeDimension_zero

@AlgebraicGeometry.Etale = @AlgebraicGeometry.SmoothOfRelativeDimension 0
Defined in
Mathlib.AlgebraicGeometry.Morphisms.Etale
Cited by
1 results in Mathlib
Foundations
Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Etale.iff_smoothOfRelativeDimension_zero · cited by 0Etale.iff_smoothOfRelativ…Quiver.Hom · cited by 32603Quiver.HomCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeRingHom.Locally · cited by 28RingHom.LocallyAlgebraicGeometry.Etale · cited by 27AlgebraicGeometry.EtaleRingHom.Etale · cited by 26RingHom.EtaleRingHom.IsStandardSmoothOfRelativeDimension · cited by 18RingHom.IsStandardSmoothO…AlgebraicGeometry.SmoothOfRelativeDimension · cited by 8AlgebraicGeometry.SmoothO…RingHom.locally_iff_of_localizationSpanTarget · cited by 3RingHom.locally_iff_of_lo…RingHom.Etale.respectsIso · cited by 2Etale.respectsIsoRingHom.etale_iff_isStandardSmoothOfRelativeDimension_zero · cited by 1RingHom.etale_iff_isStand…AlgebraicGeometry.HasRingHomProperty.ext · cited by 1HasRingHomProperty.extRingHom.Etale.ofLocalizationSpanTarget · cited by 1Etale.ofLocalizationSpanT…Etale.eq_smoothOfRelativeDime…CITED BYCITES

Cites14

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