Theorems · Theorem · field theory
trdeg_lt_aleph0
∀ (K : Type u_1) (L : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [FinTrdeg K L], Algebra.trdeg K L < Cardinal.aleph0
- Defined in
- Mathlib.FieldTheory.FinTrdeg
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Cardinalstatement · cited by 2,598
- Cardinal.aleph0statement · cited by 521
- Algebra.trdegstatement · cited by 39
- FinTrdegstatement and proof · cited by 9
- finTrdeg_iff_trdegproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- finite_of_isTranscendenceBasisproof · cited by 1
- FinTrdeg.transproof · cited by 0
- finite_of_algebraicIndependentproof · cited by 0