Theorems · Theorem · field theory
IntermediateField.sup_toSubfield
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E]
(S T : IntermediateField F E), (S ⊔ T).toSubfield = S.toSubfield ⊔ T.toSubfield- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- Set.rangeproof · cited by 4,705
- DivisionRingproof · cited by 1,062
- IntermediateFieldstatement and proof · cited by 988
- Subfieldstatement and proof · cited by 303
- Subfield.closureproof · cited by 39
- IntermediateField.toSubfieldstatement and proof · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.restrictScalars_supproof · cited by 0