Theorems · Definition · commutative algebra
Algebra.Generators.val
{R : Type u} →
{S : Type v} →
{ι : Type w} →
[inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → Algebra.Generators R S ι → ι → SThe assignment of each variable to a value in S.
- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 115 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 23 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Algebrastatement and proof · cited by 11,388
- Algebra.Generatorsstatement and proof · cited by 152
Cited by133
Results whose statement or proof uses this declaration.
- Algebra.Generators.compproof · cited by 52
- Algebra.Generators.algebraMap_applystatement and proof · cited by 32
- Algebra.Generators.ofCompproof · cited by 32
- Algebra.Generators.ker_eq_ker_aeval_valstatement and proof · cited by 13
- Algebra.PreSubmersivePresentation.jacobian_eq_jacobiMatrix_detproof · cited by 12
- Algebra.Generators.aeval_val_σstatement · cited by 11
- Algebra.Generators.defaultHomproof · cited by 10
- Algebra.Generators.H1Cotangent.δAuxproof · cited by 10
- Algebra.Generators.ofComp_valstatement · cited by 7
- Algebra.PreSubmersivePresentation.aevalDifferentialproof · cited by 7
- Algebra.Generators.algebraMap_eqstatement · cited by 6
- Algebra.Generators.baseChangeproof · cited by 6