Theorems · Theorem · field theory
trdeg_ne_zero_iff
∀ {R : Type u_3} {A : Type v} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A],
Algebra.trdeg R A ≠ 0 ↔ Algebra.Transcendental R A- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Cardinalstatement · cited by 2,598
- Algebra.IsAlgebraicproof · cited by 322
- Algebra.trdegstatement and proof · cited by 39
- Algebra.Transcendentalstatement · cited by 17
- Algebra.transcendental_iff_not_isAlgebraicproof · cited by 8
- trdeg_eq_zero_iffproof · cited by 2
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