Theorems · Theorem · field theory
Algebra.Transcendental.infinite
∀ (R : Type u_1) (A : Type u_2) [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A] [Nontrivial R] [Algebra.Transcendental R A], Infinite A
- 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.
Cites8
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
- Nontrivialstatement and proof · cited by 2,416
- Infinitestatement and proof · cited by 352
- Transcendentalproof · cited by 91
- Algebra.Transcendentalstatement and proof · cited by 17
- Transcendental.infiniteproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.rank_sup_leproof · cited by 1