Theorems · Theorem · field theory
algebraicIndependent_of_finite
∀ {R : Type u_2} {A : Type v} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] (s : Set A),
(∀ t ⊆ s, t.Finite → AlgebraicIndependent R Subtype.val) → AlgebraicIndependent R Subtype.val- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- MvPolynomialproof · cited by 2,140
- Set.Finitestatement and proof · cited by 1,814
- Finset.finite_toSetproof · cited by 210
- AlgebraicIndependentstatement and proof · cited by 120
- MvPolynomial.varsproof · cited by 79
- MvPolynomial.supportedproof · cited by 23
- MvPolynomial.mem_supportedproof · cited by 4
- algebraicIndependent_subtypeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- algebraicIndependent_iUnion_of_directedproof · cited by 1