Theorems · Theorem · field theory

Subfield.map_iInf

∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] {ι : Sort u_1} [Nonempty ι] (f : K →+* L)
  (s : ι → Subfield K), Subfield.map f (iInf s) = ⨅ i, Subfield.map f (s i)

Defined in

Mathlib.Algebra.Field.Subfield.Basic

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingDivisionRingNonempty