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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
Defined in
Mathlib.RingTheory.AlgebraicIndependent.Transcendental
Cited by
1 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebraAlgebra.IsAlgebraic

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