Theorems · Theorem · algebraic geometry
RingHom.IsStandardSmoothOfRelativeDimension.equiv
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] (e : R ≃+* S),
RingHom.IsStandardSmoothOfRelativeDimension 0 ↑e- Cited by
- 2 results in Mathlib
- Foundations
- Depth 136 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
- Algebraproof · cited by 11,388
- RingEquivstatement and proof · cited by 1,147
- RingHomClass.toRingHomstatement · cited by 746
- RingHom.toAlgebraproof · cited by 337
- RingEquiv.toRingHomproof · cited by 150
- RingEquiv.bijectiveproof · cited by 22
- RingHom.IsStandardSmoothOfRelativeDimensionstatement · cited by 18
- Algebra.IsStandardSmoothOfRelativeDimension.of_algebraMap_bijectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.isStandardSmoothOfRelativeDimension_respectsIsoproof · cited by 2
- RingHom.isStandardSmooth_respectsIsoproof · cited by 2