Theorems · Theorem · field theory
Subalgebra.algebra_isAlgebraic_of_algebra_isAlgebraic_bot_left
∀ (R : Type u) (S : Type u_1) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [Algebra.IsAlgebraic (↥⊥) S], Algebra.IsAlgebraic R S
- Defined in
- Mathlib.RingTheory.Algebraic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Bot.botstatement and proof · cited by 4,720
- Algebra.algebraMapproof · cited by 4,706
- Subalgebrastatement · cited by 1,353
- RingHom.compproof · cited by 899
- RingHomClass.toRingHomproof · cited by 746
- AlgHom.toRingHomproof · cited by 490
- RingHom.extproof · cited by 331
- Algebra.IsAlgebraicstatement and proof · cited by 322
Cited by1
Results whose statement or proof uses this declaration.
- IsTranscendenceBasis.isEmpty_iff_isAlgebraicproof · cited by 1