Theorems · Theorem · commutative algebra
Algebra.EssFiniteType.comp
∀ (R : Type u_1) (S : Type u_2) (T : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T] [inst_3 : Algebra R S] [inst_4 : Algebra R T] [inst_5 : Algebra S T] [IsScalarTower R S T] [h₁ : Algebra.EssFiniteType R S] [h₂ : Algebra.EssFiniteType S T], Algebra.EssFiniteType R T
- Defined in
- Mathlib.RingTheory.EssentialFiniteness
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Finsetproof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- mul_commproof · cited by 2,262
- IsUnitproof · cited by 1,602
- Finset.imageproof · cited by 910
- Algebra.adjoinproof · cited by 535
Cited by7
Results whose statement or proof uses this declaration.
- Algebra.FormallyUnramified.isReduced_of_fieldproof · cited by 6
- IntermediateField.fg_top_iffproof · cited by 2
- Algebra.EssFiniteType.of_surjectiveproof · cited by 2
- Algebra.smoothLocus_eq_compl_support_interproof · cited by 2
- RingHom.EssFiniteType.compproof · cited by 2
- Algebra.essFiniteType_iff_exists_subalgebraproof · cited by 1
- Algebra.EssFiniteType.comp_iffproof · cited by 1