Theorems · Theorem · field theory
Algebra.IsAlgebraic.tower_bot
∀ (K : Type u_6) (L : Type u_7) (A : Type u_8) [inst : CommRing K] [inst_1 : Field L] [inst_2 : Ring A] [inst_3 : Algebra K L] [inst_4 : Algebra L A] [inst_5 : Algebra K A] [IsScalarTower K L A] [Nontrivial A] [Algebra.IsAlgebraic K A], Algebra.IsAlgebraic K L
- 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.
Cites10
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
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- Nontrivialstatement and proof · cited by 2,416
- Algebra.IsAlgebraicstatement and proof · cited by 322
- RingHom.injectiveproof · cited by 187
- Algebra.IsAlgebraic.tower_bot_of_injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.isTotallyReal_iff_le_maximalRealSubfieldproof · cited by 1