Theorems · Theorem · algebraic geometry
Algebra.ZariskisMainProperty.restrictScalars
∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
[inst_3 : CommRing T] [inst_4 : Algebra R T] [inst_5 : Algebra S T] [IsScalarTower R S T] [Algebra.IsIntegral R S]
{p : Ideal T}, Algebra.ZariskisMainProperty S p → Algebra.ZariskisMainProperty R p- Defined in
- Mathlib.RingTheory.ZariskisMainTheorem
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Idealstatement and proof · cited by 4,748
- IsScalarTowerstatement and proof · cited by 3,896
- IsIntegralproof · cited by 427
- Algebra.IsIntegralstatement and proof · cited by 224
- isIntegral_transproof · cited by 15
- Algebra.ZariskisMainPropertystatement and proof · cited by 10
- Algebra.zariskisMainProperty_iff'proof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.