Theorems · Theorem · field theory
trdeg_eq_zero
∀ {R : Type u_3} {A : Type v} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A]
[Algebra.IsAlgebraic R A], Algebra.trdeg R A = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 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.
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Set.Elemproof · cited by 7,166
- Cardinalstatement · cited by 2,598
- IsEmptyproof · cited by 759
- Eq.leproof · cited by 605
- Algebra.IsAlgebraicstatement and proof · cited by 322
- bot_uniqueproof · cited by 57
- ciSup_le'proof · cited by 39
- Algebra.trdegstatement · cited by 39
- AlgebraicIndepOnproof · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- trdeg_eq_zero_iffproof · cited by 2