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AlgebraicGeometry.Scheme.ProEt.topology_eq_inducedTopology

∀ (S : AlgebraicGeometry.Scheme),
  AlgebraicGeometry.Scheme.ProEt.topology S =
    (AlgebraicGeometry.Scheme.ProEt.forget S).inducedTopology (AlgebraicGeometry.Scheme.proetaleTopology.over S)
Defined in
Mathlib.AlgebraicGeometry.Sites.Proetale
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Foundations
Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.Over · cited by 935CategoryTheory.OverCategoryTheory.GrothendieckTopology.over · cited by 115GrothendieckTopology.overCategoryTheory.Functor.inducedTopology · cited by 19Functor.inducedTopologyAlgebraicGeometry.Scheme.ProEt · cited by 6Scheme.ProEtAlgebraicGeometry.Scheme.proetaleTopology · cited by 4Scheme.proetaleTopologyAlgebraicGeometry.Scheme.proetalePrecoverage · cited by 4Scheme.proetalePrecoverageAlgebraicGeometry.Scheme.ProEt.topology · cited by 4ProEt.topologyAlgebraicGeometry.Scheme.ProEt.forget · cited by 3ProEt.forgetAlgebraicGeometry.Scheme.proetalePrecoverage_le_precoverage_weaklyEtale · cited by 1Scheme.proetalePrecoverag…CategoryTheory.MorphismProperty.toGrothendieck_comap_forget_eq_inducedTopology · cited by 1MorphismProperty.toGrothe…ProEt.topology_eq_inducedTopo…CITED BYCITES

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