Theorems · Theorem · field theory
IntermediateField.sInf_toSubalgebra
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E]
(S : Set (IntermediateField F E)), (sInf S).toSubalgebra = sInf (IntermediateField.toSubalgebra '' S)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 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.
- Setstatement and proof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Set.imagestatement and proof · cited by 5,609
- Subalgebrastatement and proof · cited by 1,353
- Set.iInterproof · cited by 1,084
- IntermediateFieldstatement and proof · cited by 988
- InfSet.sInfstatement and proof · cited by 935
- SetLike.coe_injectiveproof · cited by 374
- Set.iInter_congr_Propproof · cited by 170
- IntermediateField.toSubalgebrastatement and proof · cited by 134
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.sInf_toSubfieldproof · cited by 1
- IntermediateField.iInf_toSubalgebraproof · cited by 0