Theorems · Theorem · field theory
trdeg_pos
∀ (R : Type u_3) (A : Type v) [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] [Algebra.Transcendental R A], 0 < Algebra.trdeg R A
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Set.Elemproof · cited by 7,166
- Cardinalstatement · cited by 2,598
- Nat.cast_oneproof · cited by 2,501
- LT.lt.trans_leproof · cited by 678
- zero_lt_oneproof · cited by 598
- Transcendentalproof · cited by 91
- Cardinal.mk_fintypeproof · cited by 81
- Fintype.card_uniqueproof · cited by 59
- Algebra.trdegstatement and proof · cited by 39
- Cardinal.bddAbove_of_smallproof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- trdeg_eq_zero_iffproof · cited by 2