Theorems · Theorem · field theory
Subfield.map_iSup
∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] {ι : Sort u_1} (f : K →+* L)
(s : ι → Subfield K), Subfield.map f (iSup s) = ⨆ i, Subfield.map f (s i)- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingDivisionRing
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- iSupstatement · cited by 2,415
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement and proof · cited by 303
- GaloisConnection.l_iSupproof · cited by 78
- Subfield.mapstatement · cited by 30
- Subfield.gc_map_comapproof · cited by 7
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