Theorems · Theorem · algebraic geometry
RingHom.IsStandardSmooth.comp
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] {T : Type u_1} [inst_2 : CommRing T] {g : S →+* T}
{f : R →+* S}, g.IsStandardSmooth → f.IsStandardSmooth → (g.comp f).IsStandardSmooth- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- RingHomstatement and proof · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerproof · cited by 3,896
- RingHom.compstatement and proof · cited by 899
- RingHom.toAlgebraproof · cited by 337
- IsScalarTower.of_algebraMap_eq'proof · cited by 101
- RingHom.IsStandardSmoothstatement and proof · cited by 16
- Algebra.IsStandardSmooth.transproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.isStandardSmooth_stableUnderCompositionproof · cited by 2