Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.pointSmallEtale.congr_simp
∀ {S : AlgebraicGeometry.Scheme} {Ω : Type u} [inst : Field Ω] [inst_1 : IsSepClosed Ω]
(s s_1 : AlgebraicGeometry.Spec (CommRingCat.of Ω) ⟶ S),
s = s_1 → AlgebraicGeometry.Scheme.pointSmallEtale s = AlgebraicGeometry.Scheme.pointSmallEtale s_1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldIsSepClosed
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Fieldstatement and proof · cited by 7,404
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Specstatement and proof · cited by 626
- CategoryTheory.GrothendieckTopology.Pointstatement · cited by 123
- IsSepClosedstatement and proof · cited by 41
- AlgebraicGeometry.Scheme.Etalestatement · cited by 16
- AlgebraicGeometry.Scheme.smallEtaleTopologystatement · cited by 9
- AlgebraicGeometry.Scheme.pointSmallEtalestatement and proof · cited by 7
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