Theorems · Theorem · commutative algebra
Algebra.EssFiniteType.of_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] [h : Algebra.EssFiniteType R T], Algebra.EssFiniteType S T
- Defined in
- Mathlib.RingTheory.EssentialFiniteness
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finsetproof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- IsScalarTowerstatement and proof · cited by 3,896
- IsUnitproof · cited by 1,602
- Algebra.adjoinproof · cited by 535
- Algebra.subset_adjoinproof · cited by 109
- Algebra.EssFiniteTypestatement and proof · cited by 68
- Algebra.adjoin_adjoin_of_towerproof · cited by 3
- Algebra.essFiniteType_iffproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- Ideal.ramificationIdx_eq_one_iffproof · cited by 4
- Ideal.ramificationIdx_eq_oneproof · cited by 3
- Algebra.isUnramifiedAt_iff_map_eqproof · cited by 2
- Algebra.FormallyUnramified.isSeparableproof · cited by 2
- RingHom.EssFiniteType.of_compproof · cited by 1
- IsUnramifiedAt.of_liesOver_of_ne_botproof · cited by 1
- Algebra.FormallyUnramified.isField_quotient_map_maximalIdealproof · cited by 1
- Algebra.EssFiniteType.comp_iffproof · cited by 1