Theorems · Theorem · field theory
Subfield.coe_iInf
∀ {K : Type u} [inst : DivisionRing K] {ι : Sort u_1} {S : ι → Subfield K}, ↑(⨅ i, S i) = ⋂ i, ↑(S i)- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
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 · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Set.rangeproof · cited by 4,705
- iInfstatement · cited by 1,690
- Set.iInterstatement and proof · cited by 1,084
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement and proof · cited by 303
- Set.biInter_rangeproof · cited by 17
- Subfield.coe_sInfproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Subfield.map_iInfproof · cited by 0