Mathlib Map

Theorems · Inductive type · field theory

Algebra.IsAlgebraic

(R : Type u) → (A : Type v) → [inst : CommRing R] → [inst_1 : Ring A] → [Algebra R A] → Prop

An algebra is algebraic if all its elements are algebraic.

Defined in
Mathlib.RingTheory.Algebraic.Defs
Cited by
322 results in Mathlib
Foundations
Depth 6 from the axioms, rests on 21 definitions · uses no axioms
Assumes
CommRingRingAlgebra

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 · cited by 17,173
  • Algebrastatement · cited by 11,388
  • Ringstatement · cited by 7,463

Cited by373

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 373.