Theorems · Theorem · commutative algebra
Algebra.EssFiniteType.algHom_ext
∀ {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.EssFiniteType R S] (f g : S →ₐ[R] T),
(∀ s ∈ Algebra.EssFiniteType.finset R S, f s = g s) → f = g- Defined in
- Mathlib.RingTheory.EssentialFiniteness
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Finsetstatement · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- Set.ofPredproof · cited by 6,101
- AlgHomstatement and proof · cited by 3,236
- AlgHom.compproof · cited by 501
- AlgHom.toRingHomproof · cited by 490
- RingHom.extproof · cited by 331
- IsScalarTower.toAlgHomproof · cited by 232
- AlgHom.extproof · cited by 170
- Algebra.EssFiniteTypestatement and proof · cited by 68
Cited by2
Results whose statement or proof uses this declaration.
- KaehlerDifferential.ideal_fgproof · cited by 2
- RingHom.EssFiniteType.extproof · cited by 1