Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasAffineProperty.affineAnd_le_affineAnd
∀ {Q Q' : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
{P P' : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme},
AlgebraicGeometry.HasAffineProperty P (AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q) →
AlgebraicGeometry.HasAffineProperty P' (AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q') →
(∀ {R S : Type u} [inst : CommRing R] [inst_1 : CommRing S] {f : R →+* S}, Q f → Q' f) → P ≤ P'- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- AlgebraicGeometry.HasAffinePropertystatement and proof · cited by 30
- AlgebraicGeometry.affineAndstatement and proof · cited by 21
- AlgebraicGeometry.targetAffineLocallyproof · cited by 12
- AlgebraicGeometry.HasAffineProperty.eq_targetAffineLocallyproof · cited by 10
- AlgebraicGeometry.targetAffineLocally_affineAnd_leproof · cited by 1
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