Theorems · Theorem · field theory
AlgEquiv.isAlgebraic_iff
∀ {R : Type u} {A : Type v} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A] {B : Type u_2}
[inst_3 : Ring B] [inst_4 : Algebra R B] (e : A ≃ₐ[R] B), Algebra.IsAlgebraic R A ↔ Algebra.IsAlgebraic R B- Defined in
- Mathlib.RingTheory.Algebraic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Ringstatement and proof · cited by 7,463
- AlgEquivstatement and proof · cited by 1,681
- AlgEquiv.symmproof · cited by 615
- Algebra.IsAlgebraicstatement and proof · cited by 322
- AlgEquiv.isAlgebraicproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.TensorProduct.isField_of_isAlgebraicproof · cited by 2