Theorems · Theorem · commutative algebra
Algebra.Presentation.aeval_val_relation
∀ {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : Algebra.Presentation R S ι σ) (i : σ), (MvPolynomial.aeval P.val) (P.relation i) = 0- Cited by
- 5 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finsuppstatement · cited by 5,255
- Idealproof · cited by 4,748
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.aevalstatement · cited by 298
- Algebra.Generators.Ringproof · cited by 133
- Algebra.Generators.valstatement · cited by 115
- Algebra.Presentation.toGeneratorsstatement and proof · cited by 104
- Ideal.subset_spanproof · cited by 86
Cited by5
Results whose statement or proof uses this declaration.
- Algebra.Smooth.exists_subalgebra_fgproof · cited by 2
- Algebra.SubmersivePresentation.cotangentComplexAux_injectiveproof · cited by 1
- Algebra.Presentation.differentials.surjective_hom₁proof · cited by 1
- Algebra.Presentation.span_range_relation_eq_ker_baseChangeproof · cited by 0
- Algebra.Presentation.aeval_val_relationOfHasCoeffsproof · cited by 0