Theorems · Theorem · field theory
IntermediateField.iSup_toSubfield
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] {ι : Sort u_3} [Nonempty ι]
(S : ι → IntermediateField F E), (iSup S).toSubfield = ⨆ i, (S i).toSubfield- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Set.rangeproof · cited by 4,705
- iSupstatement · cited by 2,415
- IntermediateFieldstatement and proof · cited by 988
- SupSet.sSupproof · cited by 954
- Subfieldstatement · cited by 303
- IntermediateField.toSubfieldstatement and proof · cited by 38
- IntermediateField.sSup_toSubfieldproof · cited by 1
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