Theorems · Theorem · field theory
exists_finset_isTranscendenceBasis
∀ (K : Type u_1) (L : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [FinTrdeg K L], ∃ s, IsTranscendenceBasis K Subtype.val
- Defined in
- Mathlib.FieldTheory.FinTrdeg
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- IsTranscendenceBasisstatement and proof · cited by 74
- Set.finite_coe_iffproof · cited by 21
- FinTrdegstatement and proof · cited by 9
- exists_isTranscendenceBasisproof · cited by 5
- Finset.mem_range_coe_iffproof · cited by 2
- finite_of_isTranscendenceBasisproof · cited by 1
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