Theorems · Theorem · field theory
IntermediateField.coe_iInf
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] {ι : Sort u_3}
(S : ι → IntermediateField F E), ↑(iInf S) = ⋂ i, ↑(S i)- Cited by
- 1 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · 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.rangeproof · cited by 4,705
- iInfstatement · cited by 1,690
- Set.iInterstatement and proof · cited by 1,084
- IntermediateFieldstatement and proof · cited by 988
- Set.iInter_congr_Propproof · cited by 170
- Set.iInter_existsproof · cited by 44
- Set.iInter_iInter_eq'proof · cited by 22
- IntermediateField.coe_sInfproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.map_iInfproof · cited by 0