Theorems · Theorem · field theory
IntermediateField.coe_sInf
∀ {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) = ⋂ s ∈ S, ↑s- Cited by
- 3 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.
Cites9
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.coestatement and proof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Set.imageproof · cited by 5,609
- Set.iInterstatement and proof · cited by 1,084
- IntermediateFieldstatement and proof · cited by 988
- InfSet.sInfstatement and proof · cited by 935
- Set.sInter_imageproof · cited by 26
Cited by3
Results whose statement or proof uses this declaration.
- IntermediateField.sInf_toSubalgebraproof · cited by 2
- IntermediateField.coe_iInfproof · cited by 1
- IntermediateField.mem_sInfproof · cited by 0