Theorems · Theorem · field theory
trdeg_lt_aleph0_of_finiteType
∀ {R : Type u_1} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [IsDomain R]
[fin : Algebra.FiniteType R S], Algebra.trdeg R S < Cardinal.aleph0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- AlgHomproof · cited by 3,236
- Cardinalstatement · cited by 2,598
- IsDomainstatement and proof · cited by 2,196
- MvPolynomialproof · cited by 2,140
- LE.le.trans_ltproof · cited by 795
- Cardinal.liftproof · cited by 583
- Cardinal.aleph0statement and proof · cited by 521
- Fintype.card_finproof · cited by 270
- Algebra.FiniteTypestatement and proof · cited by 84
Cited by1
Results whose statement or proof uses this declaration.
- finTrdeg_iff_trdegproof · cited by 4