Theorems · Theorem · field theory
IntermediateField.fg_iSup
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] {ι : Sort u_3} [Finite ι]
{S : ι → IntermediateField F E}, (∀ (i : ι), (S i).FG) → (⨆ i, S i).FG- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Finitestatement and proof · cited by 3,029
- iSupstatement and proof · cited by 2,415
- IntermediateFieldstatement and proof · cited by 988
- IntermediateField.adjoinproof · cited by 382
- Finset.finite_toSetproof · cited by 210
- IntermediateField.FGstatement and proof · cited by 17
- Set.finite_iUnionproof · cited by 14
- IntermediateField.fg_adjoin_of_finiteproof · cited by 2
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