Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasRingHomProperty.inf
∀ {P P' : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme}
{Q Q' : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
[AlgebraicGeometry.HasRingHomProperty P fun {R S} [CommRing R] [CommRing S] => Q]
[AlgebraicGeometry.HasRingHomProperty P' fun {R S} [CommRing R] [CommRing S] => Q'],
AlgebraicGeometry.HasRingHomProperty (P ⊓ P') fun {R S} [CommRing R] [CommRing S] f => Q f ∧ Q' f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- 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
- CategoryTheory.MorphismProperty.extproof · cited by 61
- AlgebraicGeometry.HasRingHomPropertystatement and proof · cited by 38
- AlgebraicGeometry.affineLocallyproof · cited by 13
- AlgebraicGeometry.HasRingHomProperty.isLocal_ringHomPropertyproof · cited by 11
- AlgebraicGeometry.HasRingHomProperty.eq_affineLocallyproof · cited by 7
- RingHom.PropertyIsLocal.andproof · cited by 2
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